If \alpha,\beta and \gamma are the angles which the vector \overrightarrow{OP}(O being the origin) makes with positive direction of the coordinate axes, then which of the following are correct? 1. \cos^{2}\alpha+\cos^{2}\beta=\sin^{2}\gamma 2. \sin^{2}\alpha+\sin^{2}\beta=\cos^{2}\gamma 3. \sin^{2}\alpha+\sin^{2}\beta+\sin^{2}\gamma=2 Select the correct answer using the code given below: [NDA II 2017]

Correct Answer is : 1 and 3 only

UPSC NDA 2 2017 Mathematics Solved Paper

Question : 43 of 120

Marks: +1, -0

If α,β and γ are the angles which the vector

→

(O being the origin) makes with positive direction of the coordinate axes, then which of the following are correct?
1. cos2α+cos2β=sin2γ
2. sin2α+sin2β=cos2γ
3. sin2α+sin2β+sin2γ=2
Select the correct answer using the code given below:

[NDA II 2017]

1 and 2 only
2 and 3only
1 and 3 only
1,2 and 3

Validate

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