The number of solutions of cos- -3sin- -5- 0- - - 5- is

The correct option is B 0Given expression is cosθ + √(3) nbsp; sinθ = 5 Now maximum value of L.H.S is √(1+3) = 2 hence there is no solution of this ...

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Standard XII

Mathematics

Trigonometric Ratios of Compound Angles

The number of...

Question

The number of solutions of $cos θ + \sqrt{3} sin θ = 5, 0 < θ < 5 π$ , is

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none of these

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Solution

The correct option is B 0
Given expression is $c o s θ + \sqrt{3} s i n θ = 5$
Now maximum value of L.H.S is $\sqrt{1 + 3} = 2$
hence there is no solution of this equation.
Hence, option 'B' is correct.

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The number of solution of cos $θ$ + $\sqrt{3}$ sin $θ$ = 5, 0 ≤ $θ$ ≤ 5 $π$ is

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The number of solutions of cosθ+√3sinθ=5,0<θ<5π, is

The correct option is B 0Given expression is cosθ+√3sinθ=5Now maximum value of L.H.S is √1+3=2hence there is no solution of this equation.Hence, option 'B' is correct.

The number of solutions of $cos θ + \sqrt{3} sin θ = 5, 0 < θ < 5 π$ , is

The correct option is B 0
Given expression is $c o s θ + \sqrt{3} s i n θ = 5$
Now maximum value of L.H.S is $\sqrt{1 + 3} = 2$
hence there is no solution of this equation.
Hence, option 'B' is correct.