Class 11 Maths Second Unit Test Question Paper 2014-15 CBSE
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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
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
^{25}C_{n+5} = ^{25}C_{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 ?
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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 |
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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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