SSC CPO 2023 PYQ — Question 141

SSC CPO - 04 Oct 2023 - Shift 3 • Quantitative Aptitude • Q141

Find the least value of 16cosec2θ\theta + 25sin2θ\theta

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 40

Concept used:

acosec2A + bsin2A, then

Minimum value = 2√ab

Calculations:

According to the question;

⇒ 16cosec2θ\theta + 25sin2θ\theta

⇒ 2√(16 × 25)

⇒ 2√400

⇒ 2 × 20 = 40