Multiple Choice Questions on If x aCos theta Cos Phi y aCos theta Sin Phi and z aSin theta then the value of x2 y2 z2 is ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

If x aCos theta Cos Phi y aCos theta Sin Phi and z aSin theta then the value of x2 y2 z2 is ........

Quantitative Aptitude (CGL) Trignometry
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    If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2 + y2 + z2 is

    2a2

    Incorrect Answer

    4a2

    Incorrect Answer

    9a2

    Incorrect Answer

    a2

    Correct Answer
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    Explanation:

    x2 + y2 + z2 = (acosθcosΦ)2 +( aCosθSinΦ)2+(asinθ)2;
    = (acosθ)2[cos2Φ+sin2Φ]+ (asinθ)2;
    =a2[cos2θ+sin2θ]=a2

    By: MIRZA SADDAM HUSSAIN
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