Question

The area of triangle formed by the tangent & normal at the point (1, √3) on the circle x² + y² = 4 and x - axis is

a. 3

b. 2√3

c. 3√2

d. 4

Answer 1

Correct option is b. 2√3

Equation of tangent is x + √3y = 4

Point Q is (4, 0)

\(\therefore\) Area of triangle \(= \frac12.4.\sqrt 3 = 2\sqrt 3\) sq. units