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 2019 Slot 2Let ABCABCABC be a right-angled triangle with hypotenuse BCBCBC of length 202020 cm. If APAPAP is perpendicular on BCBCBC, then the maximum possible length of APAPAP, in cm, isCAT 2018 Slot 1In a circle with center OOO and radius 1 cm1 \mathrm{~cm}1 cm, an arc ABA BAB makes an angle 606060 degrees at OOO. Let RRR be the region bounded by the radii OA,OB\mathrm{OA}, \mathrm{OB}OA,OB and the arc ABABAB . If CCC and DDD are two points on OAOAOA and OBOBOB , respectively, such that OC=OD\mathrm{OC}=\mathrm{OD}OC=OD and the area of triangle OCDOCDOCD is half that of RRR , then the length of OCOCOC , in cm , isCAT 2024 Slot 2ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of △AEB\triangle AEB△AEB is