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JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy
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Application +4 | -1
If xcos⁡α+ysin⁡α=−sin⁡αtan⁡αx \cos \alpha+y \sin \alpha=-\sin \alpha \tan \alpha be the equation of a line, then the length of the perpendiculars on the line from the points (a2,2a),(ab,a+b)\left(a^2, 2 a\right),(a b, a+b) and (b2,2b)\left(b^2, 2 b\right) are in
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Correct option: B
G.P.
Option B (G.P.) is correct because the lengths of the perpendiculars form a geometric progression, as shown by the relationship l1l3=l22l_1 l_3 = l_2^2.

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