Multiple Choice Questions on If tanA and tanB are the roots of x2 ndash 2x ndash 1 0 then sin2 A B is ........ for NDA Exam Preparation

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Multiple Choice Questions

If tanA and tanB are the roots of x2 ndash 2x ndash 1 0 then sin2 A B is ........

Mathematics (NDA) Trigonometry
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    If tanA and  tanB are the roots of x2–2x –1 = 0, then sin2(A+B) is?

    1

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    Correct Answer

    1/2

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    -1/2

    Incorrect Answer
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    Explanation:

    x2–2x –1 = 0

    product of roots =-1

    tanA tanB =-1

    cosA-B =0

    A-B=π/2

    sum of roots=2

    tanA +tanB =2

    sinA cosB+sinBCosA =2cosA cos B

    B=π/4

    A=3π/4

    sin2(A+B)

    =(sinA cosB+sinBCosA) (sinA cosB+sinBCosA)

    =0

    By: bhavesh kumar singh
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