The tangent and the normal lines at the point 3 ,   1 to the circle x 2 + y 2 = 4 and the x -axis form a triangle. The area of this triangle (in square units) is:

Step-by-step solution

Equation tangent at P 3 ,    1 x ⋅ 3 + y ⋅ 1 = 4 x-intercept of this tangent is 4 3 . Hence, area of Δ = 1 2 ⋅ 4 3 ⋅ 1 = 2 3