GSHSEB Class 12 Maths Question Bank Solutions: Important Concepts

Preparing for Class 12 Mathematics requires a clear understanding of concepts, properties, and their applications. Students may find it challenging to solve MCQs and subjective questions involving relations, functions, inverse trigonometry, and differentiation. Practising the government-provided question bank can help them become familiar with important question types and improve their problem-solving approach.

The GSHSEB Class 12 Maths Question Bank Solutions focuses on solving questions from the government-provided Mathematics question bank. MCQs are explained through step-by-step methods and encourage students to attempt each question independently before checking the solution. This also highlights the importance of practising subjective questions and understanding the logic behind every answer.

Class 12 Maths Question Bank Solutions Overview

The GSHSEB Class 12 Mathematics revision covers objective and subjective questions from important topics in the syllabus. It focuses on the 45 MCQs included in the question bank and explains the concepts and methods required to solve them.

This discusses relations and functions, one-one and onto functions, range of functions, inverse trigonometric functions, greatest integer functions, differentiation and logarithmic functions. It also guides students towards practising two-mark, three-mark, and four-mark questions provided section-wise in the question bank PDF.

Important Topics Covered in GSHSEB Class 12 Maths Question Bank

GSHSEB Class 12 Maths Question Bank explains important mathematical concepts through examples and question-based practice. It covers:

1. Relations and Functions

The lesson covers reflexive, symmetric, and transitive relations using examples of ordered pairs. Students learn how to identify these properties by checking whether the required ordered pairs are present in a given relation. 

2. One-One, Many-One, Onto and Into Functions

Students learn how to identify one-one and many-one functions by comparing the outputs corresponding to different inputs. It also explains how to determine whether a function is onto by comparing its range with its codomain. These concepts help students understand function properties and solve related MCQs.

3. Range of Functions

The explanation covers the role of domain and codomain in determining the range. Students learn how missing output values can indicate that a function is not onto.

4. Inverse Trigonometric Functions

This topic includes questions involving inverse sine, inverse cotangent, and inverse tangent. It uses right-angled triangles to determine trigonometric ratios and applies identities to simplify expressions. These examples help students understand how to approach inverse trigonometric questions.

5. Greatest Integer Function

It explains how to check whether a function involving the greatest integer function is one-one or onto. By substituting different input values. This helps students understand why a function may not satisfy the one-one condition.

6. Differentiation and Its Applications

The lecture includes derivative-based questions that involve identifying whether a function is increasing or decreasing by examining the sign of its derivative. Students also practise rate-of-change problems involving geometric quantities such as cylinders, circles and equilateral triangles.

7. Logarithmic Functions

It discusses the use of logarithms and differentiation in mathematical problems involving functions and changing quantities. These questions help students practise applying mathematical methods to solve function-based problems.

How Class 12 Maths Question Bank Solutions Help in Preparation

Practising the solved questions can help students revise important concepts and understand the methods used to approach different problems. Here is how Class 12 Maths Question Bank solutions help students:

• Conceptual understanding: Questions on relations and functions explain important mathematical properties through examples.

• MCQ practice: It covers objective questions with step-by-step explanations.

• Application of concepts: Examples involving inverse trigonometry and differentiation demonstrate how mathematical rules are used.

• Subjective question revision: Students are encouraged to practise two-mark, three-mark, and four-mark questions.

• Independent problem-solving: Attempting questions before watching their solutions helps students identify concepts that need more practice.

Students can use these solutions to revise important math concepts and prepare for their school unit tests. For additional learning support and course-related resources, students can also explore the GSHSEB batches by PW.