Quiz about Conic Sections

Question 1

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 2

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 3

A circle with center $$L$$ contains points $$J$$ and $$K$$. Circle $$L$$ is dilated by a factor of $$2$$ , resulting in a new circle with center $$P$$. Points $$M$$ and $$N$$ are on circle $$P$$ such that central angle $$MPN$$ has the same measure as central angle JLK. Which statement correctly identifies the relationship between the arc length of $${JK}$$ and the arc length of $${MN}$$ ?

Accepted Answer

Covalent bond

Answer

The arc length of $${JK}$$ is half the arc length of $${MN}$$.

Answer

The arc length of $${MN}$$ is half the arc length of $${JK}$$.

Answer

The arc length of $${JK}$$ is quarter of the arc length of $${MN}$$.

Answer

The arc length of $${MN}$$ is quarter of the arc length of $${JK}$$.

Question 4

An equation of circle $$M$$ is $$x^2+y^2+6 x-2 y+1=0$$. What are the coordinates of the center and the length of the radius of circle $$M$$ ?

Accepted Answer

Covalent bond

Answer

center $$(-3,1)$$ and radius $$3$$ unit

Answer

center $$(3,-1)$$ and radius $$9$$ unit

Answer

center $$(-3,1)$$ and radius $$9$$ unit

Answer

center $$(3,-1)$$ and radius $$3$$ unit

Question 5

A circle with center $$O$$ is shown.

![](http://admin.getprephub.com/media/editor/gp14_20230225211045422824.png)
Create the equation for the circle.}

Accepted Answer

Covalent bond

Answer

$$(x-1)^{2}+(y-1)^{2}=16$$

Answer

$$(x+1)^{2}+(y+1)^{2}=16 $$

Answer

$$x^{2}+y^{2}=16$$

Answer

$$ x+y=16$$

Conic Sections High School Geometry Maths Problems and Solutions

Many students find Conic Sections for High School Geometry particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Conic Sections from for High School Geometry preparation.