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SSC CPO 2024 PYQ — Question 144

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q144

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Find the maximum value of

(19sinθ+6cotθsin⁡θ)({{19 sin\theta+6 cot\theta\sin\theta)}}

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 397{{\sqrt397}}.

Given that

(19sinθ+6cotθsin⁡θ)({{19 sin\theta+6 cot\theta\sin\theta)}}

19sinθ + 6cosθ

Maximum value = √a2 + b2 

a = 19, b = 6

Hence maximum value = √361 + 36 = √397