JEE Main & Advanced Mathematics Straight Line Question Bank Self Evaluation Test - Straight Lines & Pair Striaght Lines

  • question_answer
    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

    A) \[\frac{\pi }{3}\]

    B) \[\frac{\pi }{2}\]

    C) \[{{\tan }^{-1}}\left( \frac{{{1}^{2}}-{{m}^{2}}}{{{1}^{2}}+{{m}^{2}}} \right)\]

    D) \[{{\tan }^{-1}}\left( \frac{2lm}{{{1}^{2}}+{{m}^{2}}} \right)\]

    Correct Answer: B

    Solution :

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


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