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

Study **Future Study Point** maths **assignments** and test papers for **class 11 SA-1, exam**,it will help you in your readiness of the test. **Examining test papers** and assignments**,** the students get idea regarding the kind of **questions** posed in the **test,** they can design their technique of planning so as to get incredible marks . All **questions** are set up as indicated by **CBSE **standards by the teacher expertise in **maths.** Contemplating **Future** **Study Point’s study material** you will wind up ready to clear your doubts from the base of any problems. You can subscribe us for getting refreshed inputs of study material for your exams..

**NCERT solutions of 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 |

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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 ?**

**NCERT Solutions of 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 |

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**NCERT solutions of 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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