MCQ(12)

Maths MCQ Class 12 Ch-6 | Applications of Derivatives

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    Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 6
APPLICATION OF DERIVATIVES

  • MCQ Based on the Increasing and Decreasing of Functions.
  • MCQ  Based on the Equation of Tangent and Slopes.
  • MCQ Based on the Maximum and Minimum value of the Functions.
  • MCQ Based on Logarithmic and Exponential Functions.
  • MCQ Based on the First Derivative Test and Second Derivative Test.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Continuity and Differentiability.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Applications of Derivatives.
  • Then start solving the following MCQ.

MCQ | CHAPTER 6 | CLASS 12
APPLICATIONS OF DERIVATIVES

Maths MCQ Class 12 Ch- 5 | Continuity And Differentiability

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Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 5
CONTINUITY & DIFFERENTIABILITY

  • MCQ Based on the Continuity of different types of functions.
  • MCQ  Based on the Differentiability.
  • MCQ Based on the Differentiation of simple functions, Implicit and Explicit functions.
  • MCQ Based on Logarithmic and Exponential Functions.
  • MCQ Based on double derivative of function.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Continuity and Differentiability.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Continuity and Differentiability.
  • Then start solving the following MCQ.

MCQ | CHAPTER 5 | CLASS 12
CONTINUITY & DIFFERENTIABILITY

Maths MCQ Class 12 Ch- 3 | Matrices

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Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 3
MATRICES

  • MCQ Based on the different types of Matrices
  • MCQ  Based on the Addition, Subtraction and Multiplication of Matrices.
  • MCQ Based on the Transpose, Symmetric and Skew Symmetric of Matrices
  • MCQ Based on the general problems  of Matrices.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Matrices.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Matrices.
  • Then start solving the following MCQ.

MCQ | CHAPTER 3 | CLASS 12

MATRICES

Question 1

If A
and B are symmetric matrices of the same order, then

a) AB is a symmetric matrix  

b) A
– B is a skew-symmetric matrix

c) AB + BA is a symmetric matrix            

d) AB
– BA is a symmetric matrix

Answer: c


Question 2

If a matrix A is
symmetric as well as skew symmetric  then

a) A is a diagonal
matrix                              

b) A is a null matrix

c) A is a unit matrix                                      

d) A is a triangular
matrix

Answer: b


Maths MCQ Class 12 Ch-1 | Relations & Functions

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 Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 1
RELATIONS AND FUNCTIONS

  • MCQ Based on the different types of relations
  • MCQ  Based on the different types of functions
  • MCQ Based on the Domain and Range of the functions.
  • MCQ Based on the general problems based of relations and functions.
  • MCQ Based from the CBSE Sample Questions

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Relations and Functions.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Relations and Functions.
  • Then start solving the following MCQ.

MCQ | CHAPTER 1 | CLASS 12

RELATIONS AND FUNCTIONS

Q 1) Which of these is not a type of relation?
a) Reflexive
b) Surjective
c) Symmetric
d) Transitive 

Ans: b

Q 2) A relation is a set of all
a) Ordered pairs
b) Functions
c) y – values
d) None of these 
Ans: a

Multiple Choice Questions (MCQ) On Mathematics

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MCQ in Mathematics 

For IX, X, XI and XII Classes

Multiple Choice Questions (MCQ) in Mathematics for 9th, 10th, 11th and 12th standard and case study based questions with answers. Chapter-wise important MCQ in mathematics.

Multiple Choice Questions (MCQ) 
in Mathematics For Class 09

Multiple Choice Questions (MCQ) 
in Mathematics For Class 10

Multiple Choice Questions (MCQ)
in Mathematics For Class 11

 

Maths MCQ Class 12 Ch-12 | Linear Programming Problems

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 Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 12
LINEAR PROGRAMMING PROBLEMS

  • MCQ Based on the Increasing and Decreasing of Functions.
  • MCQ  Based on the Equation of Tangent and Slopes.
  • MCQ Based on the Maximum and Minimum value of the Functions.
  • MCQ Based on Logarithmic and Exponential Functions.
  • MCQ Based on the First Derivative Test and Second Derivative Test.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Continuity and Differentiability.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Applications of Derivatives.
  • Then start solving the following MCQ.

MCQ | CHAPTER 12 | CLASS 12
LINEAR PROGRAMMING PROBLEMS

Q 1) Region represented by inequation x ≥ 0, y ≥ 0 is
a) First quadrant
b) Second quadrant
c) Third quadrant
d) Fourth quadrant 

Ans: a

Q 2) Which of the following is correct
a) A L.P.P. always has unique solution.
b) Every L.P.P. has an optimal solution.
c) A L.P.P. admits two optimal solutions.
d) If a L.P.P. admits two optimal solutions then it has infinitely many optimal solutions. 
Ans: d

Q 3) Solution set of inequality y ≥ 0 is
a) Half plane below x – axis excluding the points on the x – axis .
b) Half plane below x – axis including the points on the x – axis .
c) Half plane above x – axis .
d) None of these. 
Ans: b

Q 4) Objective function of a L.P.P. is
a) Constraint
b) A function to be optimized
c) A relation between the variables.
d) None of these. 
Ans: b

Q 5) Which of the following terms is not used in a linear programming problems
a) Slack variable
b) Objective function
c) Convex region
d) Feasible region 
Ans: d

Q 6) The point which does not lie in half plane 2x + 3y – 12 < 0 is
a) (1, 2)
b) (2, 1)
c) (2, 3)
d) (-3, 2) 
Ans: c

Q 7) Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
(a) (3, 0)
(b) (5, 6)
(c) (7, 0)
(d) (0, 5) 
Ans: d

Q 8) The corner points of the feasible region determined by the following system of linear inequalities:
2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0), (5, 0), (3, 4) and (0, 5)
Let Z = px + qy, where p, q > 0. Conditions on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is
a) p = 3q
b) p = 2q
c) p = q
d) q = 3p 
Ans: d

Q 9) Z = 8x + 10y, subject to 2x + y ≥ 1, 2x + 3y ≥ 15, y ≥ 2, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
(a) (4.5, 2)
(b) (1.5, 4)
(c) (0, 7)
(d) (7, 0) 
Ans: b

Q 10) The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of z occurs at both the points (15, 15), and (0, 20) is
a) p = q
b) p = 2q
c) q = 2p
d) q = 3p 
Ans: d

Q 11) The solution set of the inequation 2x + y > 5 is
a) Half plane that contains the origin.
b) Open half plan not containing the origin.
c) Whole xy-plane except the point lying on the line 2x + y = 5
d) None of these 
Ans: b

Q 12) The maximum value of f(x) = 4x + 3y subject to constraints x ≥ 0,  y ≥ 0, 2x + 3y ≤ 18;     x + y ≥ 10 is
(a) 35
(b) 36
(c) 34
(d) none of these 
Ans: d

Q 13) Which of the following statement is true
a) Every L.P.P. admits an optimal solution
b) An L.P.P admits a unique solution
c) If an L.P.P admits two optimal solutions, then it has an infinite number of optimal solutions.
d) An L.P.P admits only two optimal solution 
Ans: c

Q 14) Objective function of a L.P.P.is
(a) a constant
(b) a function to be optimized
(c) a relation between the variables
(d) none of these 
Ans: b

Q 15) Objective function of a L.P.P is
a) a constant
b) a function to be optimized
c) a relation between the variable
d) None of these 
Ans: b


Maths MCQ Class 12 Ch-4 | Determinants

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Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 4
DETERMINANTS

  • MCQ Based on the determinants of Matrices.
  • MCQ  Based on the Area of triangle by using Determinants.
  • MCQ Based on the Minors, Cofactors, and adjoint  of Matrices
  • MCQ Based on Singular Matrices Inverse of the matrices.
  • MCQ Based on solution of Linear Equations by using Determinants.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Determinants.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Determinants.
  • Then start solving the following MCQ.

MCQ | CHAPTER 4 | CLASS 12
DETERMINANTS

Maths MCQ Class 12 Ch-2 | Inverse Trigonometric Functions

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Mathematics

Multiple Choice Questions (MCQ)
MCQ | Class 12 | Chapter 2
INVERSE TRIGONOMETRIC FUNCTIONS

  • MCQ Based on the Domain and range of the Inverse Trigonometric Functions
  • MCQ  Based on the Properties of Inverse Trigonometric Functions.
  • MCQ Based on the Principal Value of the Inverse Trigonometric Functions.
  • MCQ Based on the general problems  of Inverse Trigonometric Functions.

Features

  • In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 
  • On the right hand side column of the pdf Answer option is given.

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Inverse Trigonometric Functions.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Inverse Trigonometric Functions.
  • Then start solving the following MCQ.

MCQ | CHAPTER 2 | CLASS 12

INVERSE TRIGONOMETRIC FUNCTIONS

Q 1)  The value of      is =

a) -1

b) 1

Ans: d
Q 2)  The value of     is equal to

Ans: d

Q 3) The value of sin-1{cos (4095o) is equal to

Ans: c

Q 4) The value of   

d) None of these

Ans:  b  

Q 5) The value of   

b) x


Ans: b

Q 6) The value of  
a) – 60
b) -30
c) 30
d) 150
Ans: c
Q 7) The value of   


Ans: a
Q 8) The value of    


Ans: c
Q 9) The value of    is =


Ans: a
Q 10)  The principal value of  

Ans: d
Q 11)  Sec2(tan-12) + cosec2(cot-13)
=

a) 5
b) 13
c) 15
d) 16
Ans: c

Q 12) 
d) None of these
Ans: b

Q 13)  
Ans: c
Q 14) If      , then x =
a)  1
d)  None of these
Ans: c
Q 15) The value of   
d)  None of these
Ans: b