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If h denotes the A.M. and k denote G.M. ...

If `h` denotes the A.M. and k denote G.M. of t e intercept made on axes by the lines passing through `(1, 1)` then `(h,k)` lies on

A

`y^(2)=2x`

B

`y^(2)=4x`

C

`y = 2x`

D

`x +y = 2xy`

Text Solution

Verified by Experts

The correct Answer is:
A
Let x-intercept and y-intercept are a and b respectively.
Given `2h = a +b, k^(2) = ab`
Line with intercept a and b is `(x)/(a)+(y)/(b) =1`,
It passes through the point (1,1)
`:. (1)/(a)+(1)/(b) =1:. A+b = ab`
`:. 2h = k^(2)`
`:. y^(2) = 2x`
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