Straight Line Question 245

Question: The diagonals of the parallelogram whose sides are $ lx+my+n=0, $ $ lx+my+n’=0 $ , $ mx+1y+n=0 $ and $ mx+ly+n’=0 $ include an angle

Options:

A) $ \frac{\pi }{3} $

B) $ \frac{\pi }{2} $

C) $ {{\tan }^{-1}}( \frac{1^{2}-m^{2}}{1^{2}+m^{2}} ) $

D) $ {{\tan }^{-1}}( \frac{2lm}{1^{2}+m^{2}} ) $

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Answer:

Correct Answer: B

Solution:

  • [b] The perpendicular distance between the parallel lines in pairs is same, hence the lines form a rhombus