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Points A(-1,y) and B(5,7) yFind the values of y. Hence, find the radius of the circle. (cBSE 201lie on a circle with centre O(2,-3

Answer»

Since both points lie on the circle, so, length AO is equal to length BO. since both are the radius of given circle.By applying distance formula,(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)=0y=7 or -1

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