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

Options

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) gt3`

Answer

B

Explanation

The equation `ax^(2)+2hxy+by^(2)=0` represents a pair of real and distinct lines if `h^(2)gtab`. The given equation will represent a pair of real and distinct lines if `h^(2) gt 9[ because a=3, b=3]`