Question

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

Answer 1

20,-3

Explanation:

Answer 2

A) (20,-3)

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