Which point lies on a circle with a radius of 5 units and center at p(6,1)?
a. q(1, 11)
b. r(2, 4)
c. s(4, -4)
d. t(9, -2)

Option B.

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

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

step 2

Verify each case

case A)

substitute the value of in the equation of the circle and then compare the results

------> is not true

therefore

the ordered pair Q not lie on the circle

case B)

substitute the value of in the equation of the circle and then compare the results

------> is true

therefore

the ordered pair R lie on the circle

case C)

substitute the value of in the equation of the circle and then compare the results

------> is not true

therefore

the ordered pair S not lie on the circle

case D)

substitute the value of in the equation of the circle and then compare the results

------> is not true

therefore

the ordered pair T not lie on the circle

answer: it is d

step-by-step explanation: