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Questions  

If a, b, c are in A.P., a, x, b are in G.P. and b, y, c are in G.P., the point (x, y) lies on

a
a straight line
b
a circle
c
an ellipse
d
a hyperbola

detailed solution

Correct option is B

We have 2b = a +c , x2= ab, y2 = bc.so that x2+y2= b(a +c) = 2b2 which is a circle.

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The locus of the point which moves in a plane so that the sum of the squares of its distances from the lines ax+by+c=0  and bxay+d=0  is r2,  is a circle of radius.


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