Let \( L_{1} \) be a straight line passing through the origin and \( L_{2} \) be the straight li...

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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 \( x^{2}+y^{2}-x+3 y=0 \) on \( L_{1} \) and \( L_{2} \) are equal then which of the following equations can represent \( L_{1} \) ?
(a) \( x+y=0 \)
(b) \( x-y=0 \)
(c) \( x+7 y=0 \)
(d) \( x-7 y=0 \)
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