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SSC CHSL 2024 PYQ — Question 63

SSC CHSL - 03 July 2024 - Shift 4 • Quantitative Aptitude • Q63

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If α+β=45∘\alpha + \beta = 45^\circ and (tan⁡α+1)(tan⁡β+1)=2x(\tan \alpha + 1) (\tan \beta + 1) = 2x, then x is

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Correct answer: D

Explanation

The correct answer is option 1 i.e. 1.

Given: α + β = 45°

let α = 0°, β = 45°

⇒ (tanα + 1)(tanβ + 1) = 2x

⇒ (0 + 1)(1 + 1) = 2x

⇒ 2 = 2x

⇒ x = 1