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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 42

  • question_answer
    If \[cosec\theta =\frac{{{x}^{2}}-{{y}^{2}}}{{{x}^{2}}+{{y}^{2}}}\] is true iff-

    A) \[x=y\pm 0\]       

    B)        \[x<y\]

    C) \[x>y\]             

    D) None of these

    Correct Answer: D

    Solution :

    [d] \[cosec\theta \ge 1\text{ }here\text{ }{{x}^{2}}-{{y}^{2}}\le {{x}^{2}}+{{y}^{2}}\left( always \right)\] \[cosec\theta \le -1\]solution possible iff \[x=0\]                                                  ....(i) &\[y=0\]                                                                       ....(ii)


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