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CAT 2023 Set-1 | Quantitative Aptitude | Question: 17

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Let $\mathrm{C}$ be the circle $x^{2}+y^{2}+4 x-6 y-3=0$ and $\mathrm{L}$ be the locus of the point of intersection of pair of tangents to $\mathrm{C}$ with the angle between the two tangents equal to $60^{\circ}$. Then, the point at which $\mathrm{L}$ touches the line $x=6$ is

  1. $(6,6)$
  2. $(6,8)$
  3. $(6,4)$
  4. $(6,3)$
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