If h denote the A.M, k denote G.M of the intercepts made on axes by the lines pa

Question

If h denote the A.M, k denote G.M of the intercepts made on axes by the lines passing through (1, 1) then (h, k) lies on

Options:

A . y2=2x

B . y2=4x

C . y=2x

D . x+y=2xy

Answer: Option A
:
A
a = x - intercept, b =y - intercept

2 h = a + b, k^{2} = a b

\frac{x}{a} + \frac{y}{b} = 1

, substitute (1, 1)

\frac{1}{a} + \frac{1}{b} = 1

a + b = ab

2 h = k^{2} \Rightarrow y^{2} = 2 x

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