Correct Answer: Option A

Explanation

\(y = 3x^{2} - x + 3\)

\(\frac{\mathrm d y}{\mathrm d x} = 6x - 1 = 5\)

\(6x = 5 + 1 = 6 \implies x = 1\)

\(y = 3(1^{2}) - 1 + 3 = 3 - 1 + 3 = 5\)

\(P = (1, 5)\)

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