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Study the Assertion and Reason and choose the correct option.

Degree of the differential equation: , is 3

Mathematics20251 markAssertion-reason

Assertion: Degree of the differential equation: $a\left(\frac{dy}{dx}\right)^2 + b\frac{dx}{dy} = c$, is 3

Reason: If each term involving derivatives of a differential equation is a polynomial (or can be expressed as polynomial) then highest exponent of the highest order derivative is called the degree of the differential equation.

  • (a)Both Assertion and Reason are true and Reason is the correct explanation for Assertion.
  • (b)Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.
  • (c)Assertion is true and Reason is false.
  • (d)Assertion is false and Reason is true.

Answer

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Differential Equations

From ISC 2025 Specimen Mathematics Paper 1, question 1(iv).