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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        Given the four lines with equations \[b\sin A>a,A<\frac{\pi }{2}\]and \[[0,5\pi ]\], then these lines are :

    A)  concurrent

    B)  perpendicular

    C)  the sides of a rectangle

    D)  none of these

    Correct Answer: D

    Solution :

                    These lines cannot be the sides of a rectangle as none of these are parallel nor they are perpendicular. Now check concurrency \[\left| \begin{matrix}    1 & 2 & -3  \\    3 & 4 & -7  \\    2 & 3 & -4  \\ \end{matrix} \right|\]\[=1-(-16+21)-2(2)-3(1)\ne 0\]hence these are not concurrent.


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