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JEE Advance - Mathematics (1999 - No. 27)

Let $${L_1}$$ be a straight line passing through the origin and $${L_2}$$ be the straight line $$x + y = 1$$. If the intercepts made by the circle $${x^2} + {y^2} - x + 3y = 0$$ on $${L_1}$$ and $${L_2}$$ are equal, then which of the following equations can represent $${L_1}$$?
$$x + y = 0$$
$$x -y = 0$$
$$x + 7y = 0$$
$$x - 7y = 0$$

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