First slide

Definition of a circle

Question

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

Moderate

A

a straight line
B

a circle
C

an ellipse
D

a hyperbola

Solution

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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