, be the distinct parallel lines, , be two other distinct parallel lines which are…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

L1=0L_1 = 0 , L2=0L_2 = 0 be the distinct parallel lines, L3=0L_3 = 0 , L4=0L_4 = 0 be two other distinct parallel lines which are not parallel to L1=0L_1 = 0 . The equation of a circle passing through the vertices of the parallelogram formed must be of the form (1) λL1L4+μL2L3=0\lambda L_1 L_4 + \mu L_2 L_3 = 0 (2) λL1L3+μL2L4=0\lambda L_1 L_3 + \mu L_2 L_4 = 0 (3) λL1L2+μL3L4=0\lambda L_1 L_2 + \mu L_3 L_4 = 0 (4) λL12L3+μL22L4=0\lambda L_1^2 L_3 + \mu L_2^2 L_4 = 0

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