Correct Answer: Option A

Explanation

Equation of curve;

y = 2x² - 2x + 3

gradient of curve;

\(\frac{dy}{dx}\) = differential coefficient

\(\frac{dy}{dx}\) = 4x - 2, for gradient to be 2

∴ \(\frac{dy}{dx}\) = 2

4x - 2 = 2

4x = 4

∴ x = 1

When x = 1, y = 2(1)² - 2(1) + 3

= 2 - 2 + 3

= 5 - 2

= 3

coordinate of the point where the curve; y = 2x² - 2x + 3 has gradient equal to 2 is (1, 3)

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