SSC CHSL 2020 PYQ — Question 54

SSC CHSL - 19th October 2020 - Shift 2 • Quantitative Aptitude • Q54

If 2x = Sinθ and 2/x = cosθ, then the value of 4 (x2 + 1/x2) is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 1

We have given that

⇒ 2x = sinθ & 2 / x = cosθ

By squaring both equations we would get

⇒ 4x2 = sin2θ & 4 / x2 = cos2θ

By adding both the equations

⇒ 4x2 + 1 / 4x2 = sin2θ + cos2θ

⇒ 4(x2 + 1 / x2) = 1