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The set of value of h for which the equa...

The set of value of h for which the equation `4x^(2)+hxy-3y^(2)=0` represents a pair of real and distinct lines is

A

R

B

`(3,4)`

C

`(-3,4)`

D

`(4, oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
The equation `4x^2+hxy-3y^2=0` will represent a pair of real and distinct lines , if `((h)/(2))^2-4xx-3gt 0rArr (h^2)/(4)+12gt0` which is true for all `h in R`.
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