Differential Equations MCQ for Class 12 Maths Chapter 9 with Answers

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

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Differential Equations MCQ Questions for Class 12 Maths Chapter 9 with Answers