The equaltion a `sin x+b cos x=c,` where `|c|gtsqrt(a^(2)+b^(2))` hasA – InterviewSolution

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1.	The equaltion a `sin x+b cos x=c,` where `\|c\|gtsqrt(a^(2)+b^(2))` hasA. a unique solutionB. Infinite no, of solutionC. no solutionD. none of these
Answer» Correct Answer - C We know that `\|a sinx+bcos x\|lesqrt(a^(2)+b^(2))"for all" x inR` `implies\|c\|le sqrt(a^(2)+b^(2))` But, `\|c\|gtsqrt(a^(2)+b^(2))" "["Given"]` Hence, `a sin x+bcosx=c` does not hold for any `x in R.`

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