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Question

If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a2 + b2 =

(a) m2 − n2
(b) m2n2
(c) n2 − m2
(d) m2 + n2

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Solution

Given:

Squaring and adding these equations, we have




Hence, the correct option is (d).


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