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JEE MATHEMATICS MCQ: STRAIGHT LINES

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If the straight lines a1x+b1y+c1=0a_1 x+b_1 y+c_1=0, a1x+b1y+c2=0,a2x+b2y+d1=0a_1 x+b_1 y+c_2=0, a_2 x+b_2 y+d_1=0 and a2x+b2y+d2=0a_2 x+b_2 y+d_2=0 are the sides of rhombus, then
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Correct option: A
(a22+b22)(c1−c2)2=(a12+b12)(d1−d2)2\left(a_2^2+b_2^2\right)\left(c_1-c_2\right)^2=\left(a_1^2+b_1^2\right)\left(d_1-d_2\right)^2
Option A is correct because it equates the ratio of the distance between parallel lines to be equal, which is a property of a rhombus.

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