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SSC CGL 2025 PYQ — Question 59

SSC CGL - 23 Sep 2025 - Shift 1 • Quantitative Aptitude • Q59

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If sec A + tan A = p, then what is sec A in terms of p?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. p2+12p\frac{p^2+1}{2p}

sec A + tan A = p

(sec A + tan A)(sec A − tan A) = 1

p × (sec A − tan A) = 1

sec A − tan A = 1 / p

Add both equations

(sec A + tan A) + (sec A − tan A) = p + 1/p

2 sec A = p + 1/p

sec A = (p + 1/p) / 2 = (p2 + 1) / (2p)