Multiple Choice Questions on Find the range of lsquo k rsquo for the equation kcosx ndash 3sinx k 1 ........ for NDA Exam Preparation

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Multiple Choice Questions

Find the range of lsquo k rsquo for the equation kcosx ndash 3sinx k 1 ........

Mathematics (NDA) Trigonometry
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    Find the range of ‘k’ for the equation kcosx – 3sinx = k + 1 ?

    k?(-∞,6)

    Incorrect Answer

     k?(∞,4)

    Incorrect Answer

    k?(-∞,0)

    Incorrect Answer

     k?(-∞,4)

    Correct Answer
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    Explanation:

    kcosx – 3sinx = k + 1 

    kcosx/√k2+9 – 3sinx/√ k2+9 = k + 1  /√ k2+9

    cos(x+θ)=k+1/√ k2+9

    -1≤  k+1/√ k2+9   ≤ 1

    k+1/√ k2+9   ≤ 1

    (k+1)2 ≤ k2+9  

    K2+2k+1 ≤ k2+9  

    k≤4

    k?(-∞,4)

    By: bhavesh kumar singh
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