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 Aug. 26, 2025 by Teachoo

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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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