Practice sheet

Fresh questions from the whole chapter, to do on paper.

New questions Include answers

To save a PDF, choose “Save as PDF” in the print dialog.

What is the radius of the circle $(x - 9)^2 + (y + 1)^2 = 16$ ?
Which is the equation of the circle with center $(2, -8)$ and radius 7?
1. $(x - 2)^2 + (y + 8)^2 = 49$
2. $(x + 2)^2 + (y - 8)^2 = 49$
3. $(x - 2)^2 + (y + 8)^2 = 7$
Which is the equation of the circle with center $(7, -2)$ and radius 9?
1. $(x - 7)^2 + (y + 2)^2 = 81$
2. $(x + 7)^2 + (y - 2)^2 = 81$
3. $(x - 7)^2 + (y + 2)^2 = 9$
Which is the equation of the circle with center $(6, -1)$ and radius 6?
1. $(x - 6)^2 + (y + 1)^2 = 36$
2. $(x + 6)^2 + (y - 1)^2 = 36$
3. $(x - 6)^2 + (y + 1)^2 = 6$
Which is the equation of the circle with center $(6, -8)$ and radius 7?
1. $(x - 6)^2 + (y + 8)^2 = 49$
2. $(x + 6)^2 + (y - 8)^2 = 49$
3. $(x - 6)^2 + (y + 8)^2 = 7$
Which is the equation of the circle with center $(9, -8)$ and radius 4?
1. $(x - 9)^2 + (y + 8)^2 = 16$
2. $(x + 9)^2 + (y - 8)^2 = 16$
3. $(x - 9)^2 + (y + 8)^2 = 4$
Which is the equation of the circle with center $(1, -4)$ and radius 5?
1. $(x - 1)^2 + (y + 4)^2 = 25$
2. $(x + 1)^2 + (y - 4)^2 = 25$
3. $(x - 1)^2 + (y + 4)^2 = 5$
Which is the equation of the circle with center $(7, -5)$ and radius 5?
1. $(x - 7)^2 + (y + 5)^2 = 25$
2. $(x + 7)^2 + (y - 5)^2 = 25$
3. $(x - 7)^2 + (y + 5)^2 = 5$
Which is the equation of the circle with center $(9, -8)$ and radius 3?
1. $(x - 9)^2 + (y + 8)^2 = 9$
2. $(x + 9)^2 + (y - 8)^2 = 9$
3. $(x - 9)^2 + (y + 8)^2 = 3$
Which is the equation of the circle with center $(8, -2)$ and radius 6?
1. $(x - 8)^2 + (y + 2)^2 = 36$
2. $(x + 8)^2 + (y - 2)^2 = 36$
3. $(x - 8)^2 + (y + 2)^2 = 6$
Which is the equation of the circle with center $(3, -1)$ and radius 4?
1. $(x - 3)^2 + (y + 1)^2 = 16$
2. $(x + 3)^2 + (y - 1)^2 = 16$
3. $(x - 3)^2 + (y + 1)^2 = 4$
Which is the equation of the circle with center $(6, -5)$ and radius 4?
1. $(x - 6)^2 + (y + 5)^2 = 16$
2. $(x + 6)^2 + (y - 5)^2 = 16$
3. $(x - 6)^2 + (y + 5)^2 = 4$
Which is the equation of the circle with center $(5, -2)$ and radius 9?
1. $(x - 5)^2 + (y + 2)^2 = 81$
2. $(x + 5)^2 + (y - 2)^2 = 81$
3. $(x - 5)^2 + (y + 2)^2 = 9$
Which is the equation of the circle with center $(4, -5)$ and radius 4?
1. $(x - 4)^2 + (y + 5)^2 = 16$
2. $(x + 4)^2 + (y - 5)^2 = 16$
3. $(x - 4)^2 + (y + 5)^2 = 4$
Which is the equation of the circle with center $(7, -7)$ and radius 3?
1. $(x - 7)^2 + (y + 7)^2 = 9$
2. $(x + 7)^2 + (y - 7)^2 = 9$
3. $(x - 7)^2 + (y + 7)^2 = 3$
Which is the equation of the circle with center $(2, -5)$ and radius 6?
1. $(x - 2)^2 + (y + 5)^2 = 36$
2. $(x + 2)^2 + (y - 5)^2 = 36$
3. $(x - 2)^2 + (y + 5)^2 = 6$
Which is the equation of the circle with center $(9, -6)$ and radius 2?
1. $(x - 9)^2 + (y + 6)^2 = 4$
2. $(x + 9)^2 + (y - 6)^2 = 4$
3. $(x - 9)^2 + (y + 6)^2 = 2$
Which is the equation of the circle with center $(9, -6)$ and radius 6?
1. $(x - 9)^2 + (y + 6)^2 = 36$
2. $(x + 9)^2 + (y - 6)^2 = 36$
3. $(x - 9)^2 + (y + 6)^2 = 6$
Which is the equation of the circle with center $(7, -6)$ and radius 2?
1. $(x - 7)^2 + (y + 6)^2 = 4$
2. $(x + 7)^2 + (y - 6)^2 = 4$
3. $(x - 7)^2 + (y + 6)^2 = 2$
Which is the equation of the circle with center $(1, -9)$ and radius 9?
1. $(x - 1)^2 + (y + 9)^2 = 81$
2. $(x + 1)^2 + (y - 9)^2 = 81$
3. $(x - 1)^2 + (y + 9)^2 = 9$
Which is the equation of the circle with center $(8, -5)$ and radius 6?
1. $(x - 8)^2 + (y + 5)^2 = 36$
2. $(x + 8)^2 + (y - 5)^2 = 36$
3. $(x - 8)^2 + (y + 5)^2 = 6$
Which is the equation of the circle with center $(5, -6)$ and radius 5?
1. $(x - 5)^2 + (y + 6)^2 = 25$
2. $(x + 5)^2 + (y - 6)^2 = 25$
3. $(x - 5)^2 + (y + 6)^2 = 5$
Which is the equation of the circle with center $(6, -1)$ and radius 9?
1. $(x - 6)^2 + (y + 1)^2 = 81$
2. $(x + 6)^2 + (y - 1)^2 = 81$
3. $(x - 6)^2 + (y + 1)^2 = 9$
Which is the equation of the circle with center $(9, -2)$ and radius 9?
1. $(x - 9)^2 + (y + 2)^2 = 81$
2. $(x + 9)^2 + (y - 2)^2 = 81$
3. $(x - 9)^2 + (y + 2)^2 = 9$
Which is the equation of the circle with center $(9, -3)$ and radius 7?
1. $(x - 9)^2 + (y + 3)^2 = 49$
2. $(x + 9)^2 + (y - 3)^2 = 49$
3. $(x - 9)^2 + (y + 3)^2 = 7$
Which is the equation of the circle with center $(4, -8)$ and radius 9?
1. $(x - 4)^2 + (y + 8)^2 = 81$
2. $(x + 4)^2 + (y - 8)^2 = 81$
3. $(x - 4)^2 + (y + 8)^2 = 9$
Which is the equation of the circle with center $(1, -4)$ and radius 7?
1. $(x - 1)^2 + (y + 4)^2 = 49$
2. $(x + 1)^2 + (y - 4)^2 = 49$
3. $(x - 1)^2 + (y + 4)^2 = 7$
Which is the equation of the circle with center $(1, -7)$ and radius 4?
1. $(x - 1)^2 + (y + 7)^2 = 16$
2. $(x + 1)^2 + (y - 7)^2 = 16$
3. $(x - 1)^2 + (y + 7)^2 = 4$
Which is the equation of the circle with center $(8, -7)$ and radius 8?
1. $(x - 8)^2 + (y + 7)^2 = 64$
2. $(x + 8)^2 + (y - 7)^2 = 64$
3. $(x - 8)^2 + (y + 7)^2 = 8$
Which is the equation of the circle with center $(3, -2)$ and radius 5?
1. $(x - 3)^2 + (y + 2)^2 = 25$
2. $(x + 3)^2 + (y - 2)^2 = 25$
3. $(x - 3)^2 + (y + 2)^2 = 5$
Which is the equation of the circle with center $(1, -8)$ and radius 6?
1. $(x - 1)^2 + (y + 8)^2 = 36$
2. $(x + 1)^2 + (y - 8)^2 = 36$
3. $(x - 1)^2 + (y + 8)^2 = 6$
Which is the equation of the circle with center $(5, -7)$ and radius 7?
1. $(x - 5)^2 + (y + 7)^2 = 49$
2. $(x + 5)^2 + (y - 7)^2 = 49$
3. $(x - 5)^2 + (y + 7)^2 = 7$
Which is the equation of the circle with center $(8, -2)$ and radius 8?
1. $(x - 8)^2 + (y + 2)^2 = 64$
2. $(x + 8)^2 + (y - 2)^2 = 64$
3. $(x - 8)^2 + (y + 2)^2 = 8$
Which is the equation of the circle with center $(6, -5)$ and radius 6?
1. $(x - 6)^2 + (y + 5)^2 = 36$
2. $(x + 6)^2 + (y - 5)^2 = 36$
3. $(x - 6)^2 + (y + 5)^2 = 6$
Which is the equation of the circle with center $(9, -3)$ and radius 6?
1. $(x - 9)^2 + (y + 3)^2 = 36$
2. $(x + 9)^2 + (y - 3)^2 = 36$
3. $(x - 9)^2 + (y + 3)^2 = 6$
Which is the equation of the circle with center $(1, -1)$ and radius 6?
1. $(x - 1)^2 + (y + 1)^2 = 36$
2. $(x + 1)^2 + (y - 1)^2 = 36$
3. $(x - 1)^2 + (y + 1)^2 = 6$
Which is the equation of the circle with center $(3, -3)$ and radius 6?
1. $(x - 3)^2 + (y + 3)^2 = 36$
2. $(x + 3)^2 + (y - 3)^2 = 36$
3. $(x - 3)^2 + (y + 3)^2 = 6$
Which is the equation of the circle with center $(5, -2)$ and radius 6?
1. $(x - 5)^2 + (y + 2)^2 = 36$
2. $(x + 5)^2 + (y - 2)^2 = 36$
3. $(x - 5)^2 + (y + 2)^2 = 6$
Which is the equation of the circle with center $(3, -9)$ and radius 4?
1. $(x - 3)^2 + (y + 9)^2 = 16$
2. $(x + 3)^2 + (y - 9)^2 = 16$
3. $(x - 3)^2 + (y + 9)^2 = 4$
Which is the equation of the circle with center $(7, -9)$ and radius 2?
1. $(x - 7)^2 + (y + 9)^2 = 4$
2. $(x + 7)^2 + (y - 9)^2 = 4$
3. $(x - 7)^2 + (y + 9)^2 = 2$
Which is the equation of the circle with center $(1, -1)$ and radius 4?
1. $(x - 1)^2 + (y + 1)^2 = 16$
2. $(x + 1)^2 + (y - 1)^2 = 16$
3. $(x - 1)^2 + (y + 1)^2 = 4$
Which is the equation of the circle with center $(4, -7)$ and radius 3?
1. $(x - 4)^2 + (y + 7)^2 = 9$
2. $(x + 4)^2 + (y - 7)^2 = 9$
3. $(x - 4)^2 + (y + 7)^2 = 3$
Which is the equation of the circle with center $(9, -7)$ and radius 8?
1. $(x - 9)^2 + (y + 7)^2 = 64$
2. $(x + 9)^2 + (y - 7)^2 = 64$
3. $(x - 9)^2 + (y + 7)^2 = 8$
Which is the equation of the circle with center $(7, -2)$ and radius 8?
1. $(x - 7)^2 + (y + 2)^2 = 64$
2. $(x + 7)^2 + (y - 2)^2 = 64$
3. $(x - 7)^2 + (y + 2)^2 = 8$
Which is the equation of the circle with center $(2, -3)$ and radius 8?
1. $(x - 2)^2 + (y + 3)^2 = 64$
2. $(x + 2)^2 + (y - 3)^2 = 64$
3. $(x - 2)^2 + (y + 3)^2 = 8$
Which is the equation of the circle with center $(4, -4)$ and radius 5?
1. $(x - 4)^2 + (y + 4)^2 = 25$
2. $(x + 4)^2 + (y - 4)^2 = 25$
3. $(x - 4)^2 + (y + 4)^2 = 5$
Which is the equation of the circle with center $(4, -7)$ and radius 7?
1. $(x - 4)^2 + (y + 7)^2 = 49$
2. $(x + 4)^2 + (y - 7)^2 = 49$
3. $(x - 4)^2 + (y + 7)^2 = 7$
Which is the equation of the circle with center $(5, -9)$ and radius 4?
1. $(x - 5)^2 + (y + 9)^2 = 16$
2. $(x + 5)^2 + (y - 9)^2 = 16$
3. $(x - 5)^2 + (y + 9)^2 = 4$
Which is the equation of the circle with center $(4, -7)$ and radius 5?
1. $(x - 4)^2 + (y + 7)^2 = 25$
2. $(x + 4)^2 + (y - 7)^2 = 25$
3. $(x - 4)^2 + (y + 7)^2 = 5$
Which is the equation of the circle with center $(4, -8)$ and radius 8?
1. $(x - 4)^2 + (y + 8)^2 = 64$
2. $(x + 4)^2 + (y - 8)^2 = 64$
3. $(x - 4)^2 + (y + 8)^2 = 8$
Which is the equation of the circle with center $(6, -5)$ and radius 8?
1. $(x - 6)^2 + (y + 5)^2 = 64$
2. $(x + 6)^2 + (y - 5)^2 = 64$
3. $(x - 6)^2 + (y + 5)^2 = 8$
The parabola $x^2 = 8y$ has its focus at $(0, c)$ . What is $c$ ?
The parabola $y^2 = 8x$ has the directrix $x = d$ . What is $d$ ?
A parabola has focus $(0, 3)$ and directrix $y = -3$ . Its equation is $x^2 = ky$ . What is $k$ ?
The ellipse $\dfrac{x^2}{ 36 } + \dfrac{y^2}{ 1 } = 1$ has its vertices at $(\pm c, 0)$ . What is $c$ ?
The ellipse $\dfrac{x^2}{ 25 } + \dfrac{y^2}{ 16 } = 1$ has foci at $(\pm c, 0)$ . Find $c$ .
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 36 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 64 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 25 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 25 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 9 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 36 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 49 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 16 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 49 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 16 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 64 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 81 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 1 } + \dfrac{y^2}{ 81 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
Is the major axis of $\dfrac{x^2}{ 4 } + \dfrac{y^2}{ 9 } = 1$ horizontal or vertical?
1. Horizontal
2. Vertical
3. Neither: it is a circle
The hyperbola $\dfrac{x^2}{ 144 } - \dfrac{y^2}{ 256 } = 1$ has foci at $(\pm c, 0)$ . Find $c$ .
The hyperbola $\dfrac{x^2}{ 1 } - \dfrac{y^2}{ 36 } = 1$ has asymptotes $y = \pm mx$ . What is $m$ ?
The hyperbola $\dfrac{y^2}{ 64 } - \dfrac{x^2}{ 25 } = 1$ has its vertices at $(0, \pm c)$ . What is $c$ ?
What kind of conic is $2x^2 + 3y^2 = 36$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $2x^2 + 7y^2 = 67$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 5y^2 = 78$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 4y^2 = 11$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 4y^2 = 77$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $9x^2 + 6y^2 = 62$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 2y^2 = 77$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 4y^2 = 77$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 5y^2 = 65$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $9x^2 + 3y^2 = 61$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 8y^2 = 16$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 2y^2 = 10$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $9x^2 + 5y^2 = 72$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $4x^2 + 3y^2 = 18$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 5y^2 = 67$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 3y^2 = 62$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 8y^2 = 82$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 8y^2 = 77$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 8y^2 = 86$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $2x^2 + 4y^2 = 26$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 7y^2 = 58$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $2x^2 + 4y^2 = 56$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 7y^2 = 41$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 3y^2 = 46$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 9y^2 = 14$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 6y^2 = 65$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 4y^2 = 20$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $2x^2 + 7y^2 = 37$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 2y^2 = 65$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 9y^2 = 31$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 5y^2 = 58$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 3y^2 = 87$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 9y^2 = 57$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 7y^2 = 37$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 6y^2 = 20$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 5y^2 = 86$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 4y^2 = 18$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 2y^2 = 62$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 2y^2 = 90$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 8y^2 = 11$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $7x^2 + 8y^2 = 10$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $8x^2 + 6y^2 = 48$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 6y^2 = 62$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $4x^2 + 8y^2 = 24$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $2x^2 + 7y^2 = 80$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 8y^2 = 72$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $5x^2 + 8y^2 = 30$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $4x^2 + 7y^2 = 63$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $3x^2 + 5y^2 = 59$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $6x^2 + 7y^2 = 86$ ?
1. An ellipse
2. A circle
3. A hyperbola
4. A parabola
What kind of conic is $9x^2 - 5y^2 = 13$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 2y^2 = 40$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 6y^2 = 66$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 7y^2 = 33$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 5y^2 = 62$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 6y^2 = 67$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 4y^2 = 78$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 7y^2 = 34$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 4y^2 = 47$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 3y^2 = 23$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $8x^2 - 4y^2 = 39$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 5y^2 = 31$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 3y^2 = 84$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 8y^2 = 56$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $6x^2 - 3y^2 = 62$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $6x^2 - 7y^2 = 28$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 6y^2 = 89$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 5y^2 = 71$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 8y^2 = 47$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $7x^2 - 5y^2 = 71$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 9y^2 = 65$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $8x^2 - 4y^2 = 77$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $7x^2 - 4y^2 = 81$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 2y^2 = 65$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $8x^2 - 9y^2 = 48$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 6y^2 = 27$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $7x^2 - 2y^2 = 29$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 4y^2 = 72$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 3y^2 = 38$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 6y^2 = 46$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 2y^2 = 79$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 7y^2 = 74$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $6x^2 - 9y^2 = 86$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $7x^2 - 6y^2 = 34$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 7y^2 = 16$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 9y^2 = 60$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 5y^2 = 78$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $9x^2 - 6y^2 = 33$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 9y^2 = 69$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 7y^2 = 57$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 8y^2 = 15$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $2x^2 - 3y^2 = 75$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $4x^2 - 8y^2 = 87$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 5y^2 = 65$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 4y^2 = 29$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 7y^2 = 87$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $5x^2 - 4y^2 = 49$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $8x^2 - 7y^2 = 34$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $7x^2 - 9y^2 = 38$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $3x^2 - 5y^2 = 35$ ?
1. A hyperbola
2. An ellipse
3. A parabola
What kind of conic is $y = 5x^2 - 9x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 8x^2 - 2x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 5x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 2x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 2x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 9x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 9x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 5x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 5x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 8x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 1x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 8x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 1x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 5x^2 - 8x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 1x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 5x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 1x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 2x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 9x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 8x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 8x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 9x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 7x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 5x^2 - 2x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 2x^2 - 5x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 8x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 4x^2 - 9x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 3x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 3x^2 - 5x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 7x^2 - 4x$ ?
1. A parabola
2. A hyperbola
3. A circle
What kind of conic is $y = 6x^2 - 6x$ ?
1. A parabola
2. A hyperbola
3. A circle
The circle $x^2 + y^2 = 169$ and the line $y = 12$ meet at two points. Give their $x$ -coordinates.
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 11$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 12$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 9$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 10$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 8$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 12$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 7$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 9$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 8$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 12$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 8$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 9$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 11$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 11$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 8$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 10$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 9$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 8$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 10$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 16$ and the line $y = 7$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 9$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 9$ and the line $y = 7$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 10$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 12$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 7$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 7$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 36$ and the line $y = 11$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 12$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 4$ and the line $y = 10$ have in common?
1. None
2. One
3. Two
How many points do the circle $x^2 + y^2 = 25$ and the line $y = 11$ have in common?
1. None
2. One
3. Two
Find the $x$ -coordinates of the points where $y = x^2$ meets $y = x + 6$ .
A circle has radius 6. Point $P$ is 10 from the center. Find the length of a tangent segment from $P$ to the circle.
Two tangents from $P$ touch a circle (center $O$ ) at $A$ and $B$ , with $\angle APB = 61^\circ$ . Find $\angle AOB$ (degrees).
A line touches a circle of radius 7 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 9 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 6 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 8 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 5 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 2 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 3 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
A line touches a circle of radius 4 at exactly one point $T$ . What is the angle between the line and the radius to $T$ ?
1. $90^\circ$
2. It depends on the radius
3. $0^\circ$ : they lie along each other
Find the volume of a sphere of radius 5 cm (exact, in terms of π).Not to scale
A block has mass 526 g and volume 27 cm³. Find its density (g/cm³).
Find the volume of a hemisphere (half a ball) of radius 3 cm (exact, in terms of π).

Answers

$4$
$(x - 2)^2 + (y + 8)^2 = 49$
$2$
$-2$
$12$
$6$
$3$
Vertical
$20$
$6$
$8$
An ellipse
A hyperbola
A parabola
$5,\ -5$
None
$3,\ -2$
$8$
$119$
$90^\circ$
$\frac{500 \pi}{3}$
$\frac{526}{27}$
$18 \pi$