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XAT 2019 Trigonometry — Previous Year Question

Paper

XAT 2019

Section

Quantitative

Topic

Trigonometry

Difficulty

Medium

Question

XAT 2019

The figure below shows two right angled triangles △OAB\triangle OAB and △OQP\triangle OQP with right angles at vertex AA and PP, respectively, having the common vertex OO. The lengths of some of the sides are indicated in the figure. (Note that the figure is not drawn to scale.) ABAB and OPOP are parallel. What is ∠QOB\angle QOB? image

tan⁡−1(2/3)\tan^{-1}(2/3)

45∘45^\circ

30∘30^\circ

tan⁡−1(3/2)\tan^{-1}(3/2)

60∘60^\circ

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