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JEE MATHEMATICS MCQ: CIRCLES

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Analyzing +4 | -1
Let L1L_1 be a straight line passing through the origin and L2L_2 be the straight line x+y=1x+y=1. If the intercepts made by the circle x2+y2−x+3y=0x^2+y^2-x+3 y=0 on L1L_1 and L2L_2 are equal, then which of the following equations can represent L1L_1 ?
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Correct option: B
x−y=0,x+7y=0x-y=0, x+7 y=0
Option B (x−y=0,x+7y=0x-y=0, x+7 y=0) is correct because these lines satisfy the condition that the intercepts made by the circle on them are equal to the intercept made on the line x+y=1x+y=1.

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