If the tangent at (1, 7) to the curve

Question:

If the tangent at $(1,7)$ to the curve $x^{2}=y-6$ touches the circle $x^{2}+y^{2}+16 x+12 y+c=0$ then the value of $\mathrm{c}$ is:

  1. 185

  2. 85

  3. 95

  4. 195


Correct Option: , 3

Solution:

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