Question

If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

• A. 85
• B. 95
• C. 185
• D. 195

Hint:

A line touches a circle if its distance from the center equals the radius ($d=r$).

Answer 1

The Correct Option is B