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KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    If \[A+B+C=\pi ,\] then the value of the determinant \[D=\left| \begin{matrix}    {{\sin }^{2}}A & \cot A & 1  \\    {{\sin }^{2}}B & \cot B & 1  \\    {{\sin }^{2}}C & \cot C & 1  \\ \end{matrix} \right|=\]

    A) 1

    B) \[-1\]

    C) 0

    D) none of these

    Correct Answer: C

    Solution :

    \[{{R}_{1}}\to {{R}_{1}}-{{R}_{2}}\] and \[{{R}_{2}}\to {{R}_{2}}-{{R}_{3}}\]


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