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SSC CGL 2023 PYQ — Question 64

SSC CGL - 26 Jul 2023 - Shift 2 • Quantitative Aptitude • Q64

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If 21cos⁡A+3sin⁡A3cos⁡A+4sin⁡A=2\frac{21 \cos A + 3 \sin A}{3 \cos A + 4 \sin A}=2, then find the value of cot A.

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 13\frac{1}{3}.

According to the question;

⇒ 21cos A + 3sin A = 2(3cos A + 4sin A)

⇒ 21cos A + 3sin A = 6cos A + 8sin A

⇒ 15cos A = 5sin A

⇒ cos A/sin A = 1/3

⇒ cot A = 1/3