SSC CPO 2023 PYQ — Question 136

The correct answer is option 4 i.e. $\frac{p^2+1}{2p}$.

Given that

If sec A - tan A = p .....(1

As we know,

sec A + tan A = 1/(sec A - tan A) = 1/p .....(2

According to the question

Equation 1 + Equation 2 

2sec A = p + 1/p = (p² + 1)/p

sec A = (p² + 1)/2p