Question

if the line represented by ax²+4xy+4y²=0 are real and distinct then find the value of a​

Answer 1

Answer:

Given line is px

2

−qy

2

=0

General equation is ax

2

+by

2

+h=0

Comparing above equation with (i), we get

a=p,b=−q,h=0

Lines are real and distinct if h

2

−ab>0

⇒0+pq>0

⟹pq>0