Find the point on the curve y = x² - 2x + 3 at which the tangent is parallel to the x-axis. A. (2, 3) B. (1, 2) C. (0, 3) D. (-1, 6) Answer: B) (1, 2) Explanation: Tangent parallel to x-axis means dy/dx = 0. dy/dx = 2x - 2 = 0 implies x = 1. When x = 1, y = 1 - 2 + 3 = 2. Point is (1, 2).

imo class 12 application of derivatives

Find the point on the curve y = x² - 2x + 3 at which the tangent is parallel to the x-axis.

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Find the point on the curve y = x² - 2x + 3 at which the tangent is parallel to the x-axis.

Answer: B) (1, 2)

Explanation: Tangent parallel to x-axis means dy/dx = 0. dy/dx = 2x - 2 = 0 implies x = 1. When x = 1, y = 1 - 2 + 3 = 2. Point is (1, 2).