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Two parabola y^2 = 16 (x-k) and x^2 = 16...

Two parabola `y^2 = 16 (x-k) and x^2 = 16 (y-l)` always touch each other (where `k, l` are variable parameters). There point of contact lies on (A) a straight line (B) a parabola (C) a circle (D) none of these

A

`x^(2)-y^(2)=a^(2)`

B

`xy=a^(2)`

C

`x^(2)+y^(2)=a^(2)`

D

`xy=4a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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