If one of the lines of the pair a x 2 + 2 h x y + b y 2 = 0 bisects the angle between positive direction of the axes, then a , b and h satisfy the relation

Question

If one of the lines of the pair a x 2 + 2 h x y + b y 2 = 0 bisects the angle between positive direction of the axes, then a , b and h satisfy the relation, a + b = 2∣ h ∣, a + b = − 2 h, a − b = 2∣ h ∣, ( a − b ) 2 = 4 h 2

MARKS App · Accepted Answer

y = x , should satisfy a x 2 + 2 h x y + b y 2 = 0 $ ⇒ a + b = − 2 h $

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