imo class 12 continuity and differentiability

If x² + y² = a², find dy/dx.

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If x² + y² = a², find dy/dx.

  • A. x/y
  • B. −x/y
  • C. y/x
  • D. −y/x

Answer: B) −x/y

Explanation: Differentiate implicitly: 2x + 2y(dy/dx) = 0. Solving for dy/dx gives −2x/2y = −x/y.

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