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10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    If the equation \[(sin\theta -1){{x}^{2}}+(sin\theta )x+cos\theta =0\] has real roots, then \[\theta \] =

    A)  \[[0,\pi ]\]                     

    B)  \[\left[ 0,\frac{3\pi }{2} \right]\]

    C)  \[\left[ -\frac{\pi }{2},\frac{\pi }{2} \right]\]         

    D)  \[[0,2\pi ]\]

    Correct Answer: C

    Solution :

    (c): \[{{b}^{2}}-4ac\ge 0\Rightarrow {{\sin }^{2}}\theta -4(sin\theta -1)cos\theta \ge 0\]    


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