Question 10 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by Teachoo

The solution of differential equation 𝑥𝑑𝑥+𝑦𝑑𝑦=0 - Teachoo - CBSE Class 12 Sample Paper for 2026 Boards

part 2 - Question 10 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 10 The solution of the differential equation 𝑥𝑑𝑥+𝑦𝑑𝑦=0 represents a family of (A) straight lines (B) parabolas (C) Circles (D) EllipsesNow, 𝑥𝑑𝑥+𝑦𝑑𝑦=0 𝑥 𝑑𝑥=−𝑦 𝑑𝑦 Integrating both sides ∫1▒〖𝑥 𝑑𝑥〗=−∫1▒〖𝑦 𝑑𝑦〗 𝑥^2+𝐶_1=−𝑦^2+𝐶_2 𝑥^2+𝑦^2=𝐶_2−𝐶_1 𝒙^𝟐+𝒚^𝟐=𝒌 This is the equation of a circle So, the correct answer is (C)

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