WBJEE · Maths · Trigonometric Equations
The equation \(\sqrt{3} \sin x+\cos x=4\) has
- A only one solution
- B two solutions
- C infinitely many solutions
- D no solution
Answer & Solution
Correct Answer
(D) no solution
Step-by-step Solution
Detailed explanation
Hints : \(\sqrt{3} \sin x+\cos x=2 \sin \left(x+\frac{\pi}{6}\right) \leq 2\). Therefore \(\sqrt{3} \sin x+\cos x=4 \quad\) cannot have a solution
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