imo class 12 application of derivatives

The normal to the curve y = x² − 4x + 3 at x = 2 passes through the point:

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The normal to the curve y = x² − 4x + 3 at x = 2 passes through the point:

  • A. (1, 2)
  • B. (0, 5)
  • C. (3, 1)
  • D. (2, 4)

Answer: D) (2, 4)

Explanation: dy/dx = 2x − 4 = 0 at x = 2, so the tangent is horizontal and the normal is the vertical line x = 2, which passes through (2, 4).

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