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Q.

The equation asinx+bcosx=c , where c>a2+b2 has

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a

a unique solution

b

infinite number of solutions

c

no solution

d

none of these

answer is C.

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Detailed Solution

Let a=rcosα, b=rsinα so that r=a2+b2The given equation can be written as rsinx+α=c⇒sinx+α=ca2+b2⇒sinx+α=ca2+b2>1 is not possible as sinx always≤1 hence  c>a2+b2  is not possible for any value of x
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