The tangent at (1, 7) to the curve x^2 = y - 6 touches the circle x^2 + y^2 + 16x + 12y + c = 0 at

MHT CET Mathematics question

The tangent at to the curve touches the circle at

Answer: (D)

At the slope of is , so the tangent is , i.e. . The circle has centre ; the point of contact is the foot of the

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Question ID VK-027531