If the lines ( p − q ) x 2 + 2 ( p + q ) x y + ( q − p ) y 2 = 0 are mutually perpendicular, then Options: A . &nbsp p = q B . &nbspq = 0 C . &nbspp = 0 D . &nbsp p and q may have any value

If the lines (p−q)x2+2(p+q)xy+(q−p)y2=0 are mutually perpendicular

Question

If the lines

(p - q) x^{2} + 2 (p + q) x y + (q - p) y^{2} = 0

are mutually perpendicular, then

Options:

A . p = q

B . q = 0

C . p = 0

D . p and q may have any value

Answer: Option D
:
D
Pair of straight lines represented by a second degree equation with coefficient of

x^{2}

as a and coefficient of

y^{2}

as bare perpendicular if a+b = 0. Herere a + b = 0 for every p and q.

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