CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The inclination of the straight line passing through the point\[(-3,6)\]and the midpoint of the line joining the points\[(4,-5)\]and\[(-2,9)\]

    A)  \[\frac{\pi }{4}\]                                             

    B)         \[\frac{\pi }{6}\]

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

    D)         \[\frac{3\pi }{4}\]

    E)         \[\frac{5\pi }{6}\]

    Correct Answer: D

    Solution :

    Midpoint of\[(4,-5)\]and\[(-2,9)\] is (1, 2), slope of the line joining the points (1, 2) and\[(-3,6)\] \[=\frac{6-2}{-3-1}=\frac{4}{-4}=-1\] \[\Rightarrow \]               \[\tan \theta =-1=\tan \frac{3\pi }{4}\] \[\Rightarrow \]               \[\theta =\frac{3\pi }{4}\]


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