**MCQs Questions for Class 12 Maths Chapter 9 Differential Equations**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.

In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.

In this post, you will find **15** **MCQs questions for class 12 maths chapter 9 differential equations**.

**MCQs Questions for Class 12 Maths Chapter 9 Differential
Equations**

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

(a) 0.8 cm/s

(b) 0.4 Ï€ cm/s

(c) 0.8 Ï€ cm/s

(d) None of these

**Answer:**** c**

**2.** The solution
of the differential equation: (e^{y} + 1) cos x
dx + e^{y} sin x dy = 0 is

(a) (e^{y} + 1) sin x
= c

(b) e^{x} sin x = c

(c) (e^{x} + 1) cos x
= c

(d) none of these

**Answer:
a**

**3. **The order of
the differential equation: y’ – 20 y + 2 = 0 is

(a) 2

(b) 1

(c) 3

(d) 4

**Answer:**** b**

4. Find the order and degree of the
differential equation: y”’ – (4y’)^{3 }= 0.

(a) Order -3, Degree-1

(b) Order -1, Degree-3

(c) Order -2, Degree-1

(d) Order -3, Degree-2

**Answer:**** a**

**5.** The
solution of the differential equation: x dy – y dx = 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

**Answer:**** c**

**6.** If
sin x dy/dx + y cos x = x sin x,
then (y – 1) sin x equals

(a) c – x sin x

(b) c + x cos x

(c) c – x cos x

(d) c + x sin x

**Answer:
c**

**7. **The order of
the differential equation: dy/dx + 15 sin x
= 0 is

(a) 1

(b) 2

(c) 3

(d) 4

**Answer:**** a**

**8. **The solution of the differential equation: tan y sec² x dx + tan x sec² y dy
+ 0 is

(a) tan x + tan y = k

(b) tan x – tan y = k

(c) tanx/tany =
k

(d) tan x.tan y = k

**Answer:**** d**

**9. **The integrating
factor of the differential equation: dy/dx + y tan x – sec x = 0 is

(a) cos x

(b) sec x

(c) e^{cos x}

(d) e^{sec x}

**Answer:
b **

**10. **Which of the
following is a second order differential equation?

(a) (y’)² + x = y²

(b) y’y” + y = sin x

(c) y” + (y”)² + y = 0

(d) y’ = y²

**Answer:**** b **

**11. **

**Answer:**** c**

**12. **

**Answer:**** d**

**13. **The solution of
the differential equation: dy/dx = (6x + 9y – 7)/(2x + 3y – 6) is

(a) -c/3

(b) 3c/2

(c) 2c/3

(d) -2c/3

**Answer:**** a**

**14. **The general
solution of the differential equation: e^{x} cos y dx – e^{x} sin
y dy = 0 is

(a) e^{x} cos y = k

(b) e^{x} sin y = k

(c) e^{x} = k cos y

(d) e^{x} = k sin y

**Answer:**** a**

**15. **Which of the
following is the general solution of

**Answer:**** a**