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 2022 Slot 3Suppose the medians BDBDBD and CECECE of a triangle ABCABCABC intersect at a point OOO. If area of triangle ABCABCABC is 108108108 sq. cm., then, the area of the triangle EODEODEOD, in sq. cm., isCAT 2021 Slot 3In a triangle ABC, ∠BCA=50∘\angle BCA = 50^\circ∠BCA=50∘. D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then ∠FDE\angle FDE∠FDE, in degrees, is equal toCAT 2018 Slot 1Given an equilateral triangle T1\mathrm{T} 1T1 with side 24 cm24 \mathrm{~cm}24 cm, a second triangle T2\mathrm{T} 2T2 is formed by joining the midpoints of the sides of T1\mathrm{T} 1T1. Then a third triangle T3\mathrm{T} 3T3 is formed by joining the midpoints of the sides of T2\mathrm{T} 2T2. If this process of forming triangles is continued, the sum of the areas, in sq cm , of infinitely many such triangles T1, T2, T3,…\mathrm{T} 1, \mathrm{~T} 2, \mathrm{~T} 3, \ldotsT1, T2, T3,… will be