Area enclosed by tangent, normal and x-axis at ( √3,1) to circle x2 + y2 = 4 is

Question

Area enclosed by tangent, normal and x-axis at ( √3,1) to circle x2 + y2 = 4 is (A) (1/√3) (B) (2/√3) (C) 2 (D) 5

Tardigrade Admin · Accepted Answer

x2+y2 = 4 tangent √3x+y = 4 Normal x-√3y=0 Area = (1/2) ×(4/√3) ×1 = (2/√3)

Q. Area enclosed by tangent, normal and x-axis at $(3, 1)$ to circle $x^{2} + y^{2} = 4$ is