JEE Main & Advanced Sample Paper JEE Main - Mock Test - 23

  • question_answer
    The angle between the lines \[2x=3y=-z\]and \[6x=-y=-4z\] is

    A) \[\frac{\pi }{6}\]            

    B) 0

    C) \[\frac{\pi }{3}\]            

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

    Correct Answer: D

    Solution :

    [d]: The d.rs of the lines are \[\frac{1}{2},\frac{1}{3},-1\]and\[\frac{1}{6},-1,-\frac{1}{4}\]or 3, 2.-6 and 2.-12,-3 \[3\times 2+2\times (-12)+(-6)(-3)=0.\] \[\therefore \]\[\theta =\frac{\pi }{2}\]


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