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The value of lambda, for which the line ...

The value of `lambda`, for which the line `2x - (8)/(3) lambda y =- 3` is a normal to the conic `x^(2) +(y^(2))/(4) =1` is

A

`sqrt3/2`

B

`1/2`

C

`3/2`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that the equation of the normal at point `(a cos theta, b sin theta)" on the curve "x^(2)+y^(2)/4=1" is given by"`
`ax sec theta-by "cosec "theta=a^(2)-b^(2) ....(1)`
Comparing equation (i) with `2x-8/3lambday=-3," we get " lambda^(2)=3/4`
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