The line joining the origin to the points of intersection of the line 3x - 2y = 1 and the curve $3 x^{2} + 5 x y - 3 y^{2} + 2 x + 3 y = 0$ , are

Parallel to each other

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Perpendicular to each other

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None of these

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Solution

The correct option is B
Perpendicular to each other

Making the given equation homogeneous with the help of equation of line, we get $9 x^{2} + 10 x y - 9 y^{2} = 0$

Hence the lines are perpendicular.

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