Question

point a(-1,y) and b(5,7)lie on the circle of centre 0(2,-3y) find y and radius of circle

Answer 1

For this question you can use distance formula please refer solution in the given pic

Answer 2

Answer:

(2-(-1))² + (y-(-3y))²= (5-2)² + (7-(-3y))²

=>9+16y² =9 +(7+3y)²

=>16y²=49+9y²+42y

=>7y²-42y-49=0

=>y²-6y-7=0

=>y²-7y+y-7=0

=>y(y-7)+1(y-7)=0

(y-7)=0 or (y+1)=0

=>y=7 or y=-1