Question

Points A(-1, y) and B(5,7) lie on the circle with centre O(2, -3y).Find the value of y.

Answer 1

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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