Question

points A(-1,y) and B(5,7) lie on a circle with center C(2,-3y). find the value of y . hence find the radius of the circle.

Answer 1

SInce A and B are on a circle

OA = OB

Answer 2

so, C divides AB in 1:1 ratio
so, as formula,(y-7)/2=-3y
or, y-7=-6y
or, 7y=7
or,. y=7/7=1
so we got y=1 SO, Coordinate of C is (2,-3)
Now length of radius=BC=√(5-2)^2+(7+3)^2unit
=√3^2+10^2 unit
= √9+100unit
=√109unit (Ans.)


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