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JEE Math Practice Question

Let the tangents at two points $$\mathrm{A}$$ and $$\mathrm{B}$$ on the circle $$x^{2}+\mathrm{y}^{2}-4 x+3=0$$ meet at origin $$\mathrm{O}(0,0)$$. Then the area of the triangle $$\mathrm{OAB}$$ is :

  1. A.$$\frac{3 \sqrt{3}}{2}$$
  2. B.$$\frac{3 \sqrt{3}}{4}$$
  3. C.$$\frac{3}{2 \sqrt{3}}$$
  4. D.$$\frac{3}{4 \sqrt{3}}$$

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