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JEE Math Practice Question

For which of the following curves, the line $$x + \sqrt 3 y = 2\sqrt 3 $$ is the tangent at the point $$\left( {{{3\sqrt 3 } \over 2},{1 \over 2}} \right)$$?

  1. A.$$2{x^2} - 18{y^2} = 9$$
  2. B.$${y^2} = {1 \over {6\sqrt 3 }}x$$
  3. C.$${x^2} + 9{y^2} = 9$$
  4. D.$${x^2} + {y^2} = 7$$

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