**Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 9 Differential Equations with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Differential Equations. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.**

## NCERT MCQ Chapters for Class 12 Mathematics

## Q1. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is

(i) 2 sq units

(ii) 0 sq units

(iii) 3 sq units

(iv) 4 sq units

(iv) 4 sq units

## Q2. Find the order of the differential equation y’-20y+2=0.

(i) 2

(ii) 8

(iii) 0

(iv) 1

(iv) 1

## Q3. The curve for which the slope of the tangent at any point is equal to the ratio of the abcissa to the ordinate of the point is

(i) an ellipse

(ii) parabola

(iii) circle

(iv) rectangular hyperbola

(iv) rectangular hyperbola

## Q4. The number of arbitrary constants in the general solution of a differential equation of fourth order is:

(i) 0

(ii) 2

(iii) 3

(iv) 4.

(iv) 4.

## Q5. Find the degree of the differential equation y”-12cosec y=0.

(i) 1

(ii) 2

(iii) 4

(iv) Not defined

(i) 1

## Q6. The number of arbitrary constants in the particular solution of a differential equation of third order is:

(i) 3

(ii) 2

(iii) 1

(iv) 0.

(iv) 0.

## Q7. The radius of a circle is increasing at the rate of 0.4 cm/ s. The rate of increasing of its circumference is

(i) 0.4 π cm/s

(ii) 0.8 π cm/s

(iii) 0.8 cm/s

(iv) None of these

(ii) 0.8 π cm/s

## Q8. Which of the following is a homogeneous differential equation?

(i) (4x + 6y + 5)dy – (3y + 2x + 4)dx = 0

(ii) xy dx – (x³ + y²)dy = Q

(iii) (x³ + 2y²) dx + 2xy dy = 0

(iv) y² dx + (x² – xy – y²)dy = 0.

(iv) y² dx + (x² – xy – y²)dy = 0.

## Q9. The area of the region bounded by the circle x² + y² = 1 is

(i) 2π sq. units

(ii) 7π sq. units

(iii) 3π sq. units

(iv) 4π sq. units

(ii) 7π sq. units

## Q10. Solution of differential equation xdy – ydx = Q represents

(i) a rectangular hyperbola

(ii) parabola whose vertex is at origin

(iii) straight line passing through origin

(iv) a circle whose centre is at origin

(iii) straight line passing through origin

## Q11. The degree of the differential equation representing the family of curves (x – a)² + y² = 16 is

(i) 0

(ii) 2

(iii) 3

(iv) 1.

(iv) 1.

## Q12. Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is

(i) 4 sq units 3

(ii) 12 sq units

(iii) 6 sq units

(iv) 8 sq units

(iii) 6 sq units

## Q13. Which of the following is a second order differential equation?

(i) (y’)² + x = y²

(ii) y’y” + y = sin x

(iii) y” + (y”)² + y = 0

(iv) y’ = y²

(ii) y’y” + y = sin x

## Q14. The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is

(i) (x – 2)² y’² = 25 – (y – 2)²

(ii) (x – 2) y’² = 25 – (y – 2)²

(iii) (y – 2) y’² =25 – (y – 2)².

(iv) (y – 2)² y’² = 25 – (y – 2)².

(iv) (y – 2)² y’² = 25 – (y – 2)².

## Q15. Area bounded by the lines y = |x| and y = 1 – |x – 1| is equal to

(i) 4 sq. units

(ii) 6 sq. units

(iii) 2 sq. units

(iv) 8 sq. units

(i) 4 sq. units

## Q16. Family y = Ax + A³ of curves will correspond to a differential equation of order

(i) 3

(ii) 2

(iii) 1

(iv) not finite

(ii) 2

## Q17. The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is

(i) 1 sq. unit

(ii) 2 sq. unit

(iii) 2√2 sq. units

(iv) 4 sq. units

(ii) 2 sq. unit

## Q18. The area bounded by the curves y = sin x, y = cos x and x = 0 is

(i) (√2 – 1) sq. units

(ii) 1 sq. units

(iii) √2 sq. units

(iv) (1 + √2) sq. units

(i) (√2 – 1) sq. units

I Think the given NCERT MCQ Questions for class 12 Maths book Chapter 9 Differential Equations with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 12 Maths Differential Equations MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soon.

## MCQ Questions for Class 12 Mathematics Chapter wise with Answers

**Lesson 1. Relations and Functions MCQs****Lesson 2. Inverse Trigonometric Functions MCQs****Lesson 3. Matrices MCQs****Lesson 4. Determinants MCQs****Lesson 5. Continuity and Differentiability MCQs****Lesson 6. Application of Derivatives MCQs****Lesson 7. Integrals MCQs****Lesson 8. Application of Integrals MCQs****Lesson 9. Differential Equations MCQs****Lesson 10. Vector Algebra MCQs****Lesson 11. Three Dimensional Geometry MCQs****Lesson 12. Linear Programming MCQs****Lesson 13. Probability MCQs**