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## Karnataka 2nd PUC Maths Question Bank with Answers

Provided Karnataka State Board solutions for 2nd PUC Maths textbook solutions are prepared by subject experts after ample research. So students are suggested to download the 2nd PUC Maths Question Bank with Answers and Textbook Solutions from the available PDF links and kickstart your preparations for final exams. You can download them freely & practice regularly to score high marks in the examinations. Access the below Chapter-wise links and learn complete by using 2nd PUC Maths Question Bank with Answers from Karnataka State Board solutions pdf.

2nd PUC Maths Question Bank Chapter 1 Relations and Functions

- Chapter 1 Relations and Functions Ex 1.1
- Chapter 1 Relations and Functions Ex 1.2
- Chapter 1 Relations and Functions Ex 1.3
- Chapter 1 Relations and Functions Ex 1.4
- Chapter 1 Relations and Functions Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions

- Chapter 2 Inverse Trigonometric Functions Ex 2.1
- Chapter 2 Inverse Trigonometric Functions Ex 2.2
- Chapter 2 Inverse Trigonometric Functions Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 3 Matrices

- Chapter 3 Matrices Ex 3.1
- Chapter 3 Matrices Ex 3.2
- Chapter 3 Matrices Ex 3.3
- Chapter 3 Matrices Ex 3.4
- Chapter 3 Matrices Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 4 Determinants

- Chapter 4 Determinants Ex 4.1
- Chapter 4 Determinants Ex 4.2
- Chapter 4 Determinants Ex 4.3
- Chapter 4 Determinants Ex 4.4
- Chapter 4 Determinants Ex 4.5
- Chapter 4 Determinants Ex 4.6
- Chapter 4 Determinants Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 5 Continuity and Differentiability

- Chapter 5 Continuity and Differentiability Ex 5.1
- Chapter 5 Continuity and Differentiability Ex 5.2
- Chapter 5 Continuity and Differentiability Ex 5.3
- Chapter 5 Continuity and Differentiability Ex 5.4
- Chapter 5 Continuity and Differentiability Ex 5.5
- Chapter 5 Continuity and Differentiability Ex 5.6
- Chapter 5 Continuity and Differentiability Ex 5.7
- Chapter 5 Continuity and Differentiability Ex 5.8
- Chapter 5 Continuity and Differentiability Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 6 Application of Derivatives

- Chapter 6 Application of Derivatives Ex 6.1
- Chapter 6 Application of Derivatives Ex 6.2
- Chapter 6 Application of Derivatives Ex 6.3
- Chapter 6 Application of Derivatives Ex 6.4
- Chapter 6 Application of Derivatives Ex 6.5
- Chapter 6 Application of Derivatives Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 7 Integrals

- Chapter 7 Integrals Ex 7.1
- Chapter 7 Integrals Ex 7.2
- Chapter 7 Integrals Ex 7.3
- Chapter 7 Integrals Ex 7.4
- Chapter 7 Integrals Ex 7.5
- Chapter 7 Integrals Ex 7.6
- Chapter 7 Integrals Ex 7.7
- Chapter 7 Integrals Ex 7.8
- Chapter 7 Integrals Ex 7.9
- Chapter 7 Integrals Ex 7.10
- Chapter 7 Integrals Ex 7.11
- Chapter 7 Integrals Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 8 Application of Integrals

- Chapter 8 Application of Integrals Ex 8.1
- Chapter 8 Application of Integrals Ex 8.2
- Chapter 8 Application of Integrals Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 9 Differential Equations

- Chapter 9 Differential Equations Ex 9.1
- Chapter 9 Differential Equations Ex 9.2
- Chapter 9 Differential Equations Ex 9.3
- Chapter 9 Differential Equations Ex 9.4
- Chapter 9 Differential Equations Ex 9.5
- Chapter 9 Differential Equations Ex 9.6
- Chapter 9 Differential Equations Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 10 Vector Algebra

- Chapter 10 Vector Algebra Ex 10.1
- Chapter 10 Vector Algebra Ex 10.2
- Chapter 10 Vector Algebra Ex 10.3
- Chapter 10 Vector Algebra Ex 10.4
- Chapter 10 Vector Algebra Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 11 Three Dimensional Geometry

- Chapter 11 Three Dimensional Geometry Ex 11.1
- Chapter 11 Three Dimensional Geometry Ex 11.2
- Chapter 11 Three Dimensional Geometry Ex 11.3
- Chapter 11 Three Dimensional Geometry Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 12 Linear Programming

- Chapter 12 Linear Programming Ex 12.1
- Chapter 12 Linear Programming Ex 12.2
- Chapter 12 Linear Programming Miscellaneous Exercise

2nd PUC Maths Question Bank Chapter 13 Probability

- Chapter 13 Probability Ex 13.1
- Chapter 13 Probability Ex 13.2
- Chapter 13 Probability Ex 13.3
- Chapter 13 Probability Ex 13.4
- Chapter 13 Probability Ex 13.5
- Chapter 13 Probability Miscellaneous Exercise

**Karnataka 2nd PUC Maths Blue Print of Model Question Paper**

### 2nd PUC Maths Design of the Question Paper

MATHEMATICS (35)

CLASS : II PUC

Time: 3 hour 15 minute ; Max. Marks: 100

(of which 15 minute for reading the question paper).

The weightage of the distribution of marks over different dimensions of the question paper shall be as follows:

**2nd PUC Maths Weightage to Objectives:**

Objective | Weightage | Marks |

Knowledge | 40% | 60/150 |

Understanding | 30% | 45/150 |

Application | 20% | 30/150 |

Skill | 10% | 15/150 |

**2nd PUC Maths Weightage to level of difficulty:**

Level | Weightage | Marks |

Easy | 35% | 53/150 |

Average | 55% | 82/150 |

Difficult | 10% | 15/150 |

**2nd PUC Maths Weightage to content/subject units:**

Chapter No. |
Chapter | No. of teaching Hours | Marks |

1 | RELATIONS AND FUNCTIONS | 11 | 11 |

2 | INVERSE TRIGONOMETRIC FUNCTIONS | 8 | 8 |

3 | MATRICES | 8 | 9 |

4 | DETERMINANTS | 13 | 12 |

5 | CONTINUITY AND DIFFERENTIABILITY | 19 | 20 |

6 | APPLICATION OF DERIVATIVES | 11 | 10 |

7 | INTEGRALS | 21 | 22 |

8 | APPLICATION OF INTEGRALS | 8 | 8 |

9 | DIFFERENTIAL EQUATIONS | 9 | 10 |

10 | VECTORS | 11 | 11 |

11 | THREE DIMENSIONAL GEOMETRY | 12 | 11 |

12 | LINEAR PROGRAMMING | 7 | 7 |

13 | PROBABILITY | 12 | 11 |

TOTAL | 150 | 150 |

**2nd PUC Maths Pattern of the question paper:**

Part | Type of questions | Number of questions to be set | Number of questions to be answered | Remarks |

A | 1 mark questions | 10 | 10 | Compulsory part |

B | 2 mark questions | 14 | 10 | —– |

C | 3 mark questions | 14 | 10 | —– |

D | 5 mark questions | 10 | 6 | Questions must be asked from specific set of topics as mentioned below. |

E | 10 mark questions (Each question with two sub divisions namely a) 6 mark and b) 4 mark ) | 2 | 1 |

Instructions:

Content areas to select questions for PART – D and PART – E

a) In part D

- Relations and functions: Problems on verification of invertibility of a function and writing its inverse.
- Matrices: Problems on algebra of matrices .
- Determinants: Problems on finding solution to simultaneous linear equations involving three unknown quantities by matrix method.
- Continuity and differentiability: Problems on second derivatives only.
- Application of derivatives: Problems on derivative as a rate measurer.
- Integrals: Derivations on indefinite integrals and evaluation of an indefinite integral by using the derived formula.
- Application of integrals: Problems on finding the area of the bounded region by the method of integration.
- Differential equations: Problems on solving linear differential equations only.
- Three dimensional geometry: Derivations on three dimensional geometry (both vector and Cartesian form)
- Probability: Problems on Bernoulli Trials and Binomial distribution.

b) In PART E:

(i) 6 mark questions must be taken from the following content areas

Integrals: Derivations on definite integrals and evaluation of a definite integral using the derived formula.

Linear programming: Problems on linear programming.

(ii) 4 mark question must be taken from the following content areas.

Continuity and differentiability: Problems on continuous functions.

Determinants: Problems on evaluation of determinants by using properties.

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