jee-advanced 1999 Q26

jee-advanced · India Circles Chord Length and Chord Properties
26. Let L1 be a straight line passing through the origin and L2 be the straight line $x + y =$ 1. If the intercepts made by the circle $x 2 + y 2 - x + 3 y = 0$ on L1 and L2 are equal, then which of the following equations can represent L1?
(A) $x + y = 0$
(B) $x - y = 0$
(B) $x + 7 y = 0$
(D) $x - 7 y = 0$
26. Let L1 be a straight line passing through the origin and L2 be the straight line $x + y =$ 1. If the intercepts made by the circle $x 2 + y 2 - x + 3 y = 0$ on L1 and L2 are equal, then which of the following equations can represent L1?\\
(A) $x + y = 0$\\
(B) $x - y = 0$\\
(B) $x + 7 y = 0$\\
(D) $x - 7 y = 0$\\