Quiz about Conic Sections

Question 1

A certain circle can be represented by the following equation $$x^{2}+y^{2}+10 x+12 y+25=0$$.
What is the center of this circle?

Accepted Answer

Covalent bond

Answer

$$(-5,-6)$$

Answer

$$(5,-6)$$

Answer

$$(-5,6) $$

Answer

$$(5,6)$$

Question 2

A certain circle can be represented by the following equation $$x^{2}+y^{2}-4 x+12 y-24=0$$ What is the radius of this circle?

Accepted Answer

Covalent bond

Answer

$$8$$

Answer

$$24$$

Answer

$$12$$

Answer

$$16$$

Question 3

Write the equation for a parabola with a focus at $$(-4,8)$$ and a directrix at $$x=-6$$

Accepted Answer

Covalent bond

Answer

$$ x=\frac{(y-8)^{2}-20}{4}$$

Answer

$$x=\frac{(y+8)^{2}+20}{4} $$

Answer

$$x=\frac{(y-20)^{2}+8}{4}$$

Answer

$$x=\frac{(y+20)^{2}-8}{4}$$

Question 4

Which diagram is the correct for the circle which is centered at $$(-4,1)$$ and has the point $$(0,4)$$ on it?

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/cns2s_20230216185113424648.png)

Answer

![](http://admin.getprephub.com/media/editor/cn2ss_20230216185124679273.png)

Answer

![](http://admin.getprephub.com/media/editor/cns2sss_20230216185144910114.png)

Answer

![](http://admin.getprephub.com/media/editor/cns2ssss_20230216185200094096.png)

Question 5

Which diagram is the correct for the circle centered at $$(-5,1)$$ and has a radius of $$4$$ units?

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/cns3s_20230216190227130131.png)

Answer

![](http://admin.getprephub.com/media/editor/cns3ss_20230216190237032609.png)

Answer

![](http://admin.getprephub.com/media/editor/cns3sss_20230216190252999209.png)

Answer

![](http://admin.getprephub.com/media/editor/cns3ssss_20230216190305330855.png)

Conic Sections High School Geometry Maths Problems and Solutions