Question

Let a circle of radius 2/√3 is touching the lines x² – 4xy + y² = 0 in the first quadrant at points A and B. If area of triangle OAB (O being the origin) is Δ then Δ² equals

(A) 4 

(B) 3 

(C) 2 

(D) 1

Answer 1

Correct Answer is: (B) 3 

∴ Area of ΔOAB = 1/2 (r cotθ)2 (sin2θ)