The point of intersection of lines represented by x 2 - y 2 + x + 3 y - 2 = 0 is

Question

The point of intersection of lines represented by x 2 - y 2 + x + 3 y - 2 = 0 is, 1 , 0, 0 , 2, - 1 2 , 3 2, 1 2 , 1 2

MARKS App · Accepted Answer

x 2 − y 2 + x + 3 y − 2 = 0 Comparing with general equation a x 2 + 2 h x y + b y 2 + 2 g x + 2 f y + c = 0 We get a = 1 , h = 0 , b = − 1 , g = 1 2 , f = 3 2 , c = − 2 The point of intersection is given as P ≡ h g b f a h h b , g a f h a h h b ⇒ P ≡ 0 1 2 - 1 3 2 1 0 0 - 1 , 1 2 1 3 2 0 1 0 0 - 1 ⇒ P ( 1 2 − 1 , − 3 2 − 1 ) = ( − 1 2 , 3 2 )

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