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Question

For real a, b and x (a2+b2)a sin x+b cos x(a2+b2)

A
True
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B
False
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Solution

The correct option is A True
Put a=r cos α, b=r sin α where r=(a2+b2)
a sin x+b cos x=r sin (x+α)
since 1sin θ1 therefore rsin(x+α)r etc

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