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Q89 / 160 · TS EAMCET 2025 (04 May Shift 1) · Mathematics

Q3 / 349 · TS EAMCET 2025 (04 May Shift 1) · Mathematics · Circle · Tangent to circle

The angle between the tangents drawn from the point $\mathrm{P}(\mathrm{k}, 6 \mathrm{k})$ to the circle $x^2+y^2+6 x-6 y+2=0$ is $2 \operatorname{Tan}^{-1}\left(\frac{4}{3}\right)$. If the coordinates of P are integers, then $\mathrm{k}=$

  • Correct answer
    A
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $-2$

Hence, the correct answer is option: 'A'.

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