The equation √3 sin x + cos x = 4 has (1) Only one solution (2) Two solutions (3) Infinitely many solutions (4) No solution
The equation √3 sin x + cos x = 4 has
(1) Only one solution
(2) Two solutions
(3) Infinitely many solutions
(4) No solution
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1 Answers
Correct option (4) No solution
Explanation :
Given equation
√3 sin x + cos x = 4
Which is of the form a sinx + b cos x = c with a = √3, b = 1, c = 4
Here a2 + b2 = 3 + 1 = 4 < c2 , therefore the given equation has no solution.
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