Multiple Choice Questions on If k sin theta cos2 theta 2k ndash 7 then the value of k belongs to ........ for CDS Exam Preparation

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Multiple Choice Questions

If k sin theta cos2 theta 2k ndash 7 then the value of k belongs to ........

Quantitative Aptitude (CDS) Quadratic Equations
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    If k.sinθ + cos2θ = 2k – 7 then the value of k belongs to?

    (2, 6)

    Incorrect Answer

    (1, 3)

    Incorrect Answer

    [2, 6]

    Correct Answer

    [1, 3]

    Incorrect Answer
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    Explanation:

    k sinθ+cos2θ=2k-7
    2sin²θ-ksinθ+2k-8=0
    x=(-b±√(b^2-4ac))/2a
    Sinθ = (k±(k-8))/4
    sinθ=(k-4)/2  & sinθ=2 ( not possible )
    sinθ ∈[-1,1]
    sinθ=(k-4)/2 ∈[-1,1]
    on solving we get k ∈[2, 6]

    By: bhavesh kumar singh
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