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JEE Math Practice Question

A line passing through the point $$\mathrm{A}(9,0)$$ makes an angle of $$30^{\circ}$$ with the positive direction of $$x$$-axis. If this line is rotated about A through an angle of $$15^{\circ}$$ in the clockwise direction, then its equation in the new position is :

  1. A.$$\frac{y}{\sqrt{3}+2}+x=9$$
  2. B.$$\frac{x}{\sqrt{3}+2}+y=9$$
  3. C.$$\frac{x}{\sqrt{3}-2}+y=9$$
  4. D.$$\frac{y}{\sqrt{3}-2}+x=9$$

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