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Question
Find the points on the curve x2 + y2 − 2x − 3 = 0 at which the tangents are parallel to the x-axis.
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Solution
The equation of the given curve is x2 + y2 − 2x − 3 = 0.
On differentiating with respect to x, we have:
Hence, the points at which the tangents are parallel to the x-axis are (1, 2) and (1, −2).
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