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Year

CAT 2022

Section

Quantitative

Topic

Trignometry

Difficulty

Hard

Question

Slot-2

In triangle ABCA B C , altitudes ADA D and BEB E are drawn to the corresponding bases. If BAC=45\angle B A C=45^{\circ} and ABC=θ\angle A B C=\theta , then ADBE\frac{A D}{B E} equals

2sinθ\sqrt{2} \sin \theta

2cosθ\sqrt{2} \cos \theta

(sinθ+cosθ)2\frac{(\sin \theta+\cos \theta)}{\sqrt{2}}

1

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