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

(1, 0)

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(0, 2)

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(- \frac{1}{2}, \frac{3}{2})

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(\frac{1}{2}, \frac{1}{2})

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Solution

The correct option is C $(- \frac{1}{2}, \frac{3}{2})$
by partial differentiation w.r.t. x
$\Rightarrow 2 x + 1 = 0 \Rightarrow x = \frac{- 1}{2}$
by partial differentiation w.r.t. y
$\Rightarrow - 2 y + 3 = 0 \Rightarrow y = \frac{3}{2}$
Therefore Answer is $C$

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