First slide

Equation of line in Straight lines

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 $2 b = a + c, x^{2} = a b, y^{2} = b c$ so that $x^{2} + y^{2} = b (a + c) = 2 b^{2}$ which is a circle.

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