# The area of triangle formed by the tangent & normal at the point (1, √3) on the circle x^2 + y^2 = 4 and x - axis is

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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

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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