Class 11 Maths Second Unit Test Question Paper 2014-15 CBSE

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NCERT solutions of class 11 maths

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

 

Class 11 Second Unit Test Question Paper 2014-15 CBSE

Class 11  Second Unit Test  2014-15

Maths

Time: 1½ hrs                                                      Class X l                                             M.M: 40   

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Note: All questions are compulsory.

Section A

Q1.   Prove for n =1

Q2  Express in a +ib form

Q3.  Solve 5x –3 < 3x + 1, when x is an integer.

Q4.  Find the total number of ways answering 6 multiple choices questions having four choices

Section (B )  [4 marks each]

Q5.  Prove that        is divisible by 4 for all n ∈ N. Hence prove that   is divisible by 24 for all n ∈ N.

Q6.  Prove by mathematical induction: (n∈ N)

Q7.  Solve the following system of inequalities graphically :

3y – 2x ≤ 4 , x + 3y > 3, x + y ≥ 5, y < 4

Q8.  Find real value of θ such that

is a real number

Q9.  A solution of 8 % boric acid is to be diluted by adding a 2 %  of boric acid solution to it . The resulting mixture is to be more than 4 % but less than 6 % boric acid. If we have 640 liters of 8% solution, how many liters of 2 % solution will have to be added?

Q10.  Find n if  

²⁵C_n+5 = ²⁵C_{2n -1}

                                        Section (C ) [ 6 marks each]                                                          

Q11.  Out of 6 boys and 4 girls, a committee of 5 is to be formed, in how many ways can this be done if :

(1) At least 2 girls are included. 

(2) At most 2 girls are included.

Q12.   (i) Find the number of words which can be made using all letters of the word AGAIN. If these words are written as in the dictionary. What will be the 50 th word?

(ii) How many four-digit numbers can be formed from digits 1,1,2,2,3,3,4,4,5,5 ?

NCERT Solutions of Science and Maths for Class 9,10,11 and 12

NCERT Solutions for class 9 maths

Chapter 1- Number System	Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3- Coordinate Geometry	Chapter 11-Construction
Chapter 4- Linear equations in two variables	Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry	Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles	Chapter 14-Statistics
Chapter 7-Triangles	Chapter 15-Probability
Chapter 8- Quadrilateral

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings	Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure?	Chapter 10- Gravitation
Chapter3- Atoms and Molecules	Chapter 11- Work and Energy
Chapter 4-Structure of the Atom	Chapter 12- Sound
Chapter 5-Fundamental unit of life	Chapter 13-Why do we fall ill ?
Chapter 6- Tissues	Chapter 14- Natural Resources
Chapter 7- Diversity in living organism	Chapter 15-Improvement in food resources
Chapter 8- Motion	Last years question papers & sample papers

NCERT Solutions for class 10 maths

Chapter 1-Real number	Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial	Chapter 10-Circles
Chapter 3-Linear equations	Chapter 11- Construction
Chapter 4- Quadratic equations	Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression	Chapter 13-Surface areas and Volume
Chapter 6-Triangle	Chapter 14-Statistics
Chapter 7- Co-ordinate geometry	Chapter 15-Probability
Chapter 8-Trigonometry

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NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equations	Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt	Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals	Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds	Chapter 12- Electricity
Chapter 5-Periodic classification of elements	Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process	Chapter 14-Sources of Energy
Chapter 7-Control and Coordination	Chapter 15-Environment
Chapter 8- How do organisms reproduce?	Chapter 16-Management of Natural Resources

NCERT Solutions for class 11 maths

Chapter 1-Sets	Chapter 9-Sequences and Series
Chapter 2- Relations and functions	Chapter 10- Straight Lines
Chapter 3- Trigonometry	Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction	Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers	Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities	Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations	Chapter 15- Statistics
Chapter 8- Binomial Theorem	Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

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NCERT solutions for class 12 maths

Chapter 1-Relations and Functions	Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions	Chapter 10-Vector Algebra
Chapter 3-Matrices	Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants	Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability	Chapter 13-Probability
Chapter 6- Application of Derivation	CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

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