Q. 175.0( 1 Vote )

# Using integration, find the area of the triangle formed by the positive x-axis and tangent and normal to the circle x^{2} + y^{2} = 4 at (1, √3). **[CBSE 2015]**

**[CBSE 2015]**

Answer :

Given; Circle x^{2} + y^{2} = 4 at (1, √3)

Differentiating w.r.t x

∴ The equation of Tangent is;

∴ The equation of Normal is;

Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .

Required Area

= 2√3 sq.units

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