If lines represented by equation p x^2-q y^2=0 are distinct, then - Vidyadip

MCQ

If lines represented by equation $p x^2-q y^2=0$ are distinct, then

✓
$p q>0$
B
$p q<0$
C
$p q=0$
D
$p+q=0$

✓

Answer

Correct option: A.

$p q>0$

(a): We have, $p x^2-q y^2=0$
Here, $a=p, b=-q, h=0$
Lines will be real and distinct if $h^2-a b>0$
$\Rightarrow 0+p q>0 \Rightarrow p q>0$

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