if lines represented by equation `px^(2)-qy^(2)=0` are distinct, then

Options

A. `pq gt 0`
B. `pq lt 0`
C. `pq=0`
D. `p+q=0`

Answer

A

Explanation

Given pair of line is `px^(2)-qy^(2)=0` . . . (i)
On comparing Eq. (i) with `ax^(2)+2hxy+by^(2)=0`,
we get a=p,b=-q,h=0 ltbRgt We know that, slopes of `ax^(2)+2hxy+by^(2)=0` are real and distinct if any only if `h^(2)-ab gt 0`
`implies0+pqgt0`
`impliespqgt0`