Q.

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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a

y2=2x

b

y2=4x

c

y=2x

d

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
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