Quiz about Equation of the circle

Question 1

1. What is the equation of the circle center at the origin with radius of 15 units?

Accepted Answer

$$C.\ x^2+y^2=225$$

Answer

$$A.\ x^2+y^2=196$$

Answer

$$B.\ x^2+y^2=289$$

Answer

$$D.\ x^2+y^2=144$$

Question 2

2. What is the equation of the circle center at C(0,-5) with radius of 16 units?

Accepted Answer

$$D.x^2+\left(y+5\right)^2=256$$

Answer

$$A.\ x^2+\left(y+5\right)^2=289$$

Answer

$$B.\ x^2+\left(y+5\right)^2=289$$

Answer

$$C.\ x^2+\left(y-5\right)^2=256$$

Question 3

3.What is the equation of the circle center at C(6,0) with radius of 9 units?

Accepted Answer

$$B.\ (x-6)^2+y^2=81$$

Answer

$$A.(x-6)^2+y^2=64$$

Answer

$$C.\ (x-4)^2+y^2=81$$

Answer

$$D.\ (x-8)^2+y^2=81$$

Question 4

4.What is the equation of the circle center at C(-8,6) with radius of 10 units?

Accepted Answer

$$C.\ (x+8)^2+(y-6)^2=100$$

Answer

$$A.\ (x+6)^2+(y-8)^2=100$$

Answer

$$B.\ (x-8)^2+(y-6)^2=10$$

Answer

$$D.\ (x-8)^2+(y+6)^2=100$$

Question 5

5.What is the equation of the circle in general form whose center lie at C(-3,4) with radius 7 units?

Accepted Answer

$$C.\ x^2+y^2-6x+8y-24=0$$

Answer

$$A.\ x^2+y^2-3x+4y=49$$

Answer

$$B.\ x^2+y^2-3x+4y-49=0$$

Answer

$$D.\ x^2+y^2-6x+8y+74=0$$

Question 6

6.What is the equation of the circle in general form whose center lie at C(-8,3) with radius 8 units?

Accepted Answer

$$C.\ x^2+y^2-16x+9y+9=0$$

Answer

$$A.\ x^2+y^2-8x+3y-64=0$$

Answer

$$B.\ x^2+y^2-6x+6y-64=0$$

Answer

$$D.\ x^2+y^2-16x+9y+137=0$$

Question 7

7. What is the center and radius of the circle defined by the equation $$\left(x-6\right)^2+\left(y+2\right)^2=25$$ ?

Accepted Answer

C. C(6,-2); r=5

Answer

A. C(-6, 2); r = 5

Answer

B. C(6,-2); r=25

Answer

D. C(-6, 2); r = 25

Question 8

8.What is the center and radius of the circle defined by the equation $$x^2+y^2-6x+4y-5=0?$$

Accepted Answer

$$D.\ C\left(3,-2\right);\ r\ =\ \sqrt[]{18}$$

Answer

A. C(-6,4) ; r = 5

Answer

B. C(6,,-4) ; r = 5

Answer

$$C.\ C(-6,4);\ r=\sqrt[]{13}$$

Question 9

9. Which of the following represents the equation of a circle in general form?

Accepted Answer

$$C.\ x^2+y^2-8x+12y-48=0$$

Answer

$$A.\ x^2+y^2-6x+2y+15=0$$

Answer

$$B.\ x^2+y^2+8x+10y+41=0$$

Answer

$$D.\ x^2+y^2+6x-4y+20=0$$

Question 10

10. For which values of p does $$x^2+y^2-2px-4y+p^2+p-4=0$$ to represent a circle?

Accepted Answer

$$D.\ p<8$$

Answer

$$A.\ p>8$$

Answer

$$B.\ p>-8$$

Answer

$$C.\ p<-8$$

Equation of the circle

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