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The tangent to the curve x² = y - 6 at the point (1, 7) also touches the circle x² + y² + 16x + 12y + c = 0. Find the value of c.
- 185
- 85
- 95
- 195
Correct answer: 95
Solution
Tangent line is y = 2x + 5; distance from circle centre (-8,-6) equals radius sqrt(100 - c). Solving gives c = 95.
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