Question 1

What is the center and the radius of the circle defined by the equation, $x^2+y^2=8$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 2

Pizza Planet delivers pizza within a 15-mile radius of their store. If this area is represented graphically, with Pizza Planet located at $x^2+y^2=8$ , what is the equation that represents the delivery area?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 3

The hospital provides ambulance service within a $x^2+y^2=8$ -km radius of the hospital. If this service area is represented graphically, with the hospital located at $\left(0,0\right)$ , what is the equation that represents the service area?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 4

Which of the following are set of circles in the same plane that intersects in exactly one point and the intersection of their interiors is not empty?

Accepted Answer

internally tangent circles

Answer

externally tangent circles

Answer

concentric circles

Answer

non-concentric circles

Question 5

Which of the following is a family of circles that has the radius as the parameter?

Accepted Answer

concentric circles

Answer

non-concentric circles

Answer

internally tangent circles

Answer

externally tangent circles

Question 6

Which of the following is the equation of the circle that passes through $x^2+y^2=8$ , $\left(0,0\right)$ , and $\left(4,7\right)$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 7

Which of the following is the equation of the circle that passes through $x^2+y^2=8$ and tangent to the line $\left(0,0\right)$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 8

Which of the following is the equation of the circle that passes through $x^2+y^2=8$ and tangent to the line $\left(0,0\right)$ and with a radius of $\left(4,7\right)$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 9

Which of the following is the equation of the circle that passes through $x^2+y^2=8$ , $\left(0,0\right)$ , and $\left(4,7\right)$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Question 10

What is the equation of the family of circles passing through the intersection of the circles $x^2+y^2=8$ , $\left(0,0\right)$ and a point $\left(4,7\right)$ ?

Accepted Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

Answer

$C\left(0,0\right);\ r=2\sqrt{2}$

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