imo class 12 continuity and differentiability

If x = at², y = 2at, then dy/dx at t = 1 is:

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If x = at², y = 2at, then dy/dx at t = 1 is:

  • A. 1/a
  • B. a
  • C. 1
  • D. 2/a

Answer: C) 1

Explanation: dx/dt = 2at, dy/dt = 2a. dy/dx = (2a)/(2at) = 1/t. At t=1, dy/dx = 1.

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