Question

The area of the triangle formed by the positive x-axis, and the normal and tangent to the circle $x^2+y^2=4$ at $(1,\sqrt{3})$

• A. $\sqrt{3}$ sq unit
• B. $2\sqrt{3}$ sq unit
• C. $4\sqrt{3}$ sq unit
• D. None of these

Answer 1

The correct option is B $2\sqrt{3}$ sq unit

$x^2+y^2=4$
Equation of tangent and normal at $(1,\sqrt{3})$ to the circle are
$x+\sqrt{3}x=0respectively.$
$\therefore Requiredarea=\frac{1}{2}\times 4\times \sqrt{3}=2\sqrt{3}squnit$