Differential Equations MCQ for Class 12 Maths Chapter 9 with Answers

# Differential Equations MCQ Questions 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.

(i) 2 sq units
(ii) 0 sq units
(iii) 3 sq units
(iv) 4 sq units

(iv) 4 sq units

(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

(i) 0
(ii) 2
(iii) 3
(iv) 4.

(iv) 4.

(i) 1
(ii) 2
(iii) 4
(iv) Not defined

(i) 1

(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

(i) 0
(ii) 2
(iii) 3
(iv) 1.

(iv) 1.

(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

(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.