The line lx+my+n=0 intersects the curve ...

The line `lx+my+n=0` intersects the curve `ax^2 + 2hxy + by^2 = 1` at the point P and Q. The circle on PQ as diameter passes through the origin. Then `n^2(a+ b)` equals (A) `l^2+m^2` (B) `2lm` (C) `l^2-m^2` (D) `4lm`

A

`n^(2)(a+b)=l^(2)+m^(2)`

B

`l^(2)(a+b)=n^(2)+m^(2)`

C

`m^(2)(a+b)=l^(2)+n^(2)`

D

none of these

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The correct Answer is:

A

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