Point a (-1,y) and b(5,7) lie on a circle o(2,-3y) .find value of y

1.	Point a (-1,y) and b(5,7) lie on a circle o(2,-3y) .find value of y
Answer» We know, if A and B lies on circle and C is the centre of circle , then line joining of points A and B is intersected by Centre of circle.e.g., O lies on midpoint of AB. means, we have to use midpoint section formula.here, A (-1, y) and B(5,7) lies on circle with centre C(2,-3y) .A--------------C------------------Bnow, use midpoint section formula,[if (x,y) is the midpoint of (x1,y1) and (x2, y2) then, x = (x1 + x2)/2 and y = (y1+y2)/2 ]so, -3y = (y + 7)/2=>-6y = y + 7=> -7y = 7=> y = -1

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