CBSE Class 12 Mathematics Differentials Equation MCQs

Refer to CBSE Class 12 Mathematics Differentials Equation MCQs provided below available for download in Pdf. The MCQ Questions for Class 12 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 9 Differential Equations are an important part of exams for Class 12 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 12 Mathematics and also download more latest study material for all subjects

MCQ for Class 12 Mathematics Chapter 9 Differential Equations

Class 12 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 9 Differential Equations in Class 12.

Chapter 9 Differential Equations MCQ Questions Class 12 Mathematics with Answers

Question :

(a) log x

(b) log (logx)

(c) ex

(d) x

Answer : log xfdrcx 0-\]

Question :

(a) not defined

(b) 1

(c) 2

(d) 3

Answer : (a)

Question :

(a) 2

(b) 1

(c) 0

(d) not defined

Answer : (a)

Question : The number of arbitrary constants in the general solution of differential equation of fourth order is

(a) 4

(b) 3

(c) 2

(d) 0

Answer : (a)

Question : The order of the differential equation of all the circles of given radius 4 is

(a) 2

(b) 3

(c) 4

(d) 5

Answer : (a)

Question :  The degree of the differential equation

(a) not defined

(b) 2

(c) 3

(d) None of these

Answer : (a)

Question :

(a) 2

(b) 1

(c) 0

(d) Not defind

Answer : (a)

Question :  If p and q are the degree and order of the differential equation

a) -7

b) -8

(c) 8

d) 7

Answer : -(c)

Question : The order the differential equation 

12_Ordinary Differential Equations 1

(a) one                               
(b) two                                              
(c) four                               
(d) zero

Answer :  (b)

Question : The degree of the differential equation 

12_Ordinary Differential Equations 2

 

(a) one                                                
(b) two                                
(c) half                                 
(d) four 

Answer : (b)

Question The differential equation of the family of curves y = ex(A cos x + B sin x), where A, B are arbitrary constants, has the degree n and order m. Then               

(a) n = 2, m = 1                 
(b) n = 2, m = 2                 
(c) n = 1, m = 2                  
(d) n = 1, m = 1 

Answer : (c) 

Question : The general solution of a differential equation is y = aebx+c where a, b, c are arbitrary constants. The order of the differential equation is               

(a) 3                                      
(b) 2                                      
(c) 1                                      
(d) none of these

Answer : (b)  

Question : The general solution of a differential equation is (y + c)2 = cx where c is an arbitrary constant. The order and degree of the differential equation are respectively               

(a) 1, 2                                 
(b) 2, 2                                 
(c) 1, 1                                  
(d) 2, 1

 Answer : (a) 

Question : The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively              

(a) 1, 2                                 
(b) 3, 2                                 
(c) 2, 3                                  
(d) 2, 1

 Answer : (a) 

Question : The order and degree of the differential equation of the family of circles touching the x-axis at the origin, are respectively

(a) 1, 1                                 
(b) 1, 2                                 
(c) 2, 1                                  
(d) 2, 2

Answer : (a)  

Question : The order and degree of the differential equation of the fami&*aving the same foci, are respectively

(a) 1, 1                                 
(b) 2, 1                                 
(c) 2, 2                                  
(d) 1, 2

Answer : (d) 

Question : If y(t) is a solution of the equation 

12_Ordinary Differential Equations 3

(a) -1/2   
(b) e+1/2         
(c) e-1/2 
(d) 1/2 

Answer : (a) 

Question : The solution of (x + logy)dy + y dx = 0 when y(0) = 1 is

(a) y(x – 1) + ylog y = 0  
(b) y(x – 1 + logy) + 1= 0               
(c) xy + ylogy + 1 = 0       
(d) none of these

Answer :(b)

Question : The general solution of the equation

12_Ordinary Differential Equations 4

12_Ordinary Differential Equations 5

Answer :(a)

Question :

12_Ordinary Differential Equations 6

(a) 16                                    
(b) 63                                   
(c) 64                                    
(d) 15

Answer : (c)

Question :

12_Ordinary Differential Equations

Answer : (a)

Question : The differential equation Φf(x)dy = y {fΦ'(x) – y}dx is changed in the form df(x, y) = 0. Then f(x, y) is           

(a) 1/2Φ(x)+y
(b) 1/yΦ(x)-x
(c)1/yΦ(x)+x
(d) Φ(x)/y

Answer : (b)

Question : The solution of primitive integral equation (x2 + y2)dy = xy . dx is y = y(x). If y(1) = 1 and y(x0) = e then x0 is

 12_Ordinary Differential Equations 8

Answer :(c)

 

CBSE Class 12 Mathematics Differentials Equation MCQs Set A 1

CBSE Class 12 Mathematics Differentials Equation MCQs Set A 2

MCQs for Mathematics CBSE Class 12 Chapter 9 Differential Equations

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Chapter 9 Differential Equations MCQs Mathematics CBSE Class 12

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Chapter 9 Differential Equations CBSE Class 12 MCQs Mathematics

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CBSE MCQs Mathematics Class 12 Chapter 9 Differential Equations

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