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The equation 3x^(2)+2hxy+3y^(2)=0 repr...

The equation `3x^(2)+2hxy+3y^(2)=0`
represents a pair of straight lines passing through the origin. The two lines are

A

real and distinct, if `h^2 gt 3`

B

real and distinct, if `h^2 gt 9`

C

real and coincident, if `h^2 =3`

D

real and coincident , if `h^2 gt 3`

Text Solution

Verified by Experts

The correct Answer is:
B
The equation `ax^2+2hxy +by^2=0` represents a pair of real and distinct lines , if `h^2 gt ab`. The given equation will represent a pair of real and distinct lines , if `h^2 gt 9`.
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