Question

Which point lies on the circle represented by the equation x2 + (y − 12)2 = 252?

Answer 1

Answer:

A) (20,-3)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle, then the ordered pair must satisfy the equation of the circle

we have

$x^{2} +(y-12)^2=25^2$

The center of the circle is the point (0,12) and the radius is r=25 units

Verify

A) (20,-3)

substitute the value of x and y in the equation and then analyze the result

$20^{2} +(-3-12)^2=25^2$

$625=625$ ----> is true

therefore

The ordered pair lie on the circle

B) (-7,24)

substitute the value of x and y in the equation and then analyze the result

$-7^{2} +(24-12)^2=25^2$

$193=625$ ----> is not true

therefore

The ordered pair not lie on the circle

C) (0,13)

substitute the value of x and y in the equation and then analyze the result

$0^{2} +(13-12)^2=25^2$

$1=625$ ----> is not true

therefore

The ordered pair not lie on the circle

D) (-25,-13)

substitute the value of x and y in the equation and then analyze the result

$-25^{2} +(-13-12)^2=25^2$

$1,250=625$ ----> is not true

therefore

The ordered pair not lie on the circle