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JEE Main & Advanced JEE Main Paper (Held On 10 April 2016)

  • question_answer
    The number of distinct real values of \[\lambda \] for which the lines \[\frac{x-1}{1}=\frac{y-2}{2}=\frac{z+3}{2}=\frac{z+3}{{{}^{2}}}\]and\[\frac{x-3}{1}=\frac{y-2}{{{}^{2}}}=\frac{z-1}{2}\]are coplanar is   JEE Main Online Paper (Held On 10 April 2016)

    A) 3                

    B) 2

    C) 1                                                

    D) 4

    Correct Answer: A

    Solution :

                    \[\left| \begin{matrix}    1 & 2 & {{\lambda }^{2}}  \\    1 & {{\lambda }^{2}} & 2  \\    2 & 0 & 4  \\ \end{matrix} \right|=0\] \[4{{\lambda }^{2}}-2(0)+{{\lambda }^{2}}-(-2{{\lambda }^{2}})=0\] \[2{{\lambda }^{2}}[2-{{\lambda }^{2}}]=0\] \[\lambda =0\,\,\]              \[\lambda =\pm \sqrt{2}\]   


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