If p denote the arithmetic mean, q denote G.M. of the intercepts made on axes by the lines passing through (1, 1) then (p, q) lies on

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y2=2x

y2=4x

y=2x

x+y=2xy

answer is A.

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Detailed Solution

p=a+b2,q=ab (1,1) Lies on xa+yb=1 ⇒1a+1b=1⇒a+b=ab ⇒2p=q2 Required locus is y2=2x