A) 1
B) 2
C) Infinite
D) None of these
Correct Answer: D
Solution :
\[\frac{a}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\sin x+\frac{b}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\cos x=\frac{c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\] \[\sin (x+\alpha )=\frac{c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}>1\], (as given) Hence there is no solution.
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