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If lx+ my = 1 is a normal to the hyper...

If lx+ my = 1 is a normal to the hyperbola `(x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1, "then" a^(2) m^(2) - b^(2) l^(2) = `

A

`(m^(2))/(l^(2))(a^(2)+b^(2))^(2)`

B

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

C

`(l^(2))/(m^(2))(a^(2)+b^(2))^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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