CATGeometry > Hard2cosθ\sqrt{2} \cos \theta2cosθ1(sinθ+cosθ)2\frac{(\sin \theta + \cos \theta)}{\sqrt{2}}2(sinθ+cosθ)2sinθ\sqrt{2} \sin \theta2sinθ✅ Correct Option: 4Related questions:CAT 2017 Slot 1Let ABCABCABC be a right-angled isosceles triangle with hypotenuse BCBCBC. Let BQCBQCBQC be a semi-circle, away from AAA, with diameter BCBCBC. Let BPCBPCBPC be an arc of a circle centred at AAA and lying between BCBCBC and BQCBQCBQC. If ABABAB has length 666 cm ,then the area, in sq. cm, of the region enclosed by BPCBPCBPC and BQCBQCBQC is:CAT 2019 Slot 1Let TTT be the triangle formed by the straight line 3x+5y−45=03x + 5y - 45 = 03x+5y−45=0 and the coordinate axes. Let the circumcircle of TTT have radius of length L,L,L, measured in the same unit as the coordinate axes. Then, the integer closest to LLL is2025 Slot 3In △ABC\triangle ABC△ABC, AB=AC=12AB=AC=12AB=AC=12 cm and D is a point on side BC such that AD=8AD=8AD=8 cm. If AD is extended to a point E such that ∠ACB=∠AEB\angle ACB=\angle AEB∠ACB=∠AEB, then the length, in cm, of AE is