CBSE Class 12 Maths Chapter 9 Differential Equations MCQs with Solutions: Download PDF

Maths Class 12 Differential Equations MCQs: The Central Board of Secondary Education conducts the annual board exams for class 12, which are considered among the most important for students. The question paper follows a fixed format every year and consists of various types of questions like MCQs, short-answer and long-answer.

Each question needs a different solving approach depending on the marks and difficulty level. Multiple choice questions are asked in all papers, and in mathematics they require fast calculation skills and quick thinking from students. MCQs often confuse students, so it's important to thoroughly practice them before the exam, especially the MCQs for Differential Equations and other calculus chapters. You can find the question and solutions for all maths chapters here of all difficulty levels. You can check out the MCQs for CBSE Class 12 Maths Chapter 9 Differential Equations below.

Also check: CBSE Class 12 Maths Chapter 8 Application of Integrals MCQs with Solutions: Download PDF

Key Highlights

MCQs for CBSE Class 12 Maths Chapter 9 Differential Equations with Solutions

Question 1: Solution of differential equation xdy – ydx = Q represents

(a) a rectangular hyperbola

(b) parabola whose vertex is at origin

(c) straight line passing through origin

(d) a circle whose centre is at origin

Question 2: The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is:

(a) An ellipse

(b) Parabola

(c) Circle

(d) Hyperbola

Related: CBSE Class 12 Maths Syllabus 2023-24: 12th Maths Syllabus Download PDF

Question 3: What is the degree of differential equation (y’’’)² + (y’’)³ + (y’)⁴ + y⁵ = 0?

(a) 2

(b) 3

(c) 4

(d) 5

Question 4: What is the differential equation of the family of circles touching the y-axis at the origin?

(a) 2xyy’ + x² = y²

(b) 2xyy’’ + x’ = y²

(c) 2xyy’ – x² = y²

(d) xyy’ + x² = y² 

Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2025-26

Question 5: The solution of (x+ logy)dy +ydx =0 where y(0) =1 is

(a) y(x−(A)) + ylogy = 0

(b) y(x−1+logy) + 1 = 0

(c) xy+ ylogy +1 = 0

(d) None of these

Question 6: The number of arbitrary constants in the particular solution of a differential equation of third order is:

(a) 3

(b) 2

(c) 1

(d) 0

Question 7:

Related: CBSE Class 12 Maths Sample Paper 2025-26, Download Model Paper PDF FREE

Question 8:

Question 9:

Question 10:

(a) (1,4)

(b) (3,4)

(c) (2,4)

(d) (3,2)

Answers

MCQs for CBSE Class 12 Maths Chapter 9 Differential Equations with Solutions: Download PDF 

Students can practice MCQs directly from the PDF. To download CBSE Class 12 Maths Chapter 9- Differential Equations with Solutions from the link shared below: 

These questions will help students into navigating the concepts and formulas from the differential equations and will offer a detailed practice of various formulas used in the chapter. 

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Class 12th Mathematics NCERT Book

CBSE Class 12 Maths Deleted Syllabus 2025-26