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CAT 2019 Trigonometry — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Trigonometry

Difficulty

Medium

Question

Slot-1

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

tan1(2/3)\tan^{-1}(2/3)

4545^\circ

3030^\circ

tan1(3/2)\tan^{-1}(3/2)

6060^\circ

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