Quiz about Conic Sections

Question 1

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

$$ x+y=16$$

Question 2

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 3

Create the equation of a circle that has a center at $$(1,3)$$ and a radius of 4 units.

Accepted Answer

Covalent bond

Answer

$$(x-1)^{2}+(y-3)^{2}=16$$

Answer

$$(x+1)^{2}+(y-3)^{2}=16$$

Answer

$$(x-3)^{2}+(y-3)^{2}=4 $$

Answer

$$(x-1)^{2}+(y-1)^{2}=4$$

Question 4

The equation of a circle is shown.

$$x^{2}+y^{2}-10 x+8 y+16=0$$

What is the radius of the circle?

Accepted Answer

Covalent bond

Answer

5

Answer

-5

Answer

7

Answer

9

Ohio State 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 Ohio State for High School Geometry preparation.