Skip to main content
Chapter 2 of 10
Important Questions

Algebra

CBSE · Class 12 · Applied Mathematics

Most important questions from Algebra for CBSE Class 12 Applied Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

51 questions20 flashcards5 concepts

Interactive on Super Tutor

Studying Algebra? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

1,000+ Class 12 students started this chapter today

51 Questions·
multiple choicemultiple correcttext answermatchingorderingtrue falsevery short answercase study short answer

Sample Questions

1multiple correct

Which of the following matrices are diagonal matrices?

Show answer

[2 0; 0 3], [5 0 0; 0 -1 0; 0 0 2]

A diagonal matrix has all non-diagonal elements as zero. Options 1 and 3 satisfy this condition as all elements except those on the main diagonal are zero.

2multiple choice

If A = [1 2; 3 4], find A².

Show answer

[7 10; 15 22]

A² = A × A. Using matrix multiplication: [1 2; 3 4] × [1 2; 3 4] = [1×1+2×3 1×2+2×4; 3×1+4×3 3×2+4×4] = [7 10; 15 22].

3multiple choice

What is the transpose of matrix B = [1 3 5; 2 4 6]?

Show answer

[1 2; 3 4; 5 6]

The transpose of a matrix is obtained by interchanging rows and columns. B^T converts the 2×3 matrix to a 3×2 matrix where row 1 becomes column 1, etc.

4multiple choice

Which type of matrix is [1 0 0; 0 1 0; 0 0 1]?

Show answer

Identity matrix

An identity matrix has 1s on the main diagonal and 0s elsewhere. This 3×3 matrix has exactly this pattern, making it the identity matrix I₃.

+47 more questions available

Practice All

Frequently Asked Questions

What are the important topics in Algebra for CBSE Class 12 Applied Mathematics?
Algebra covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Algebra — CBSE Class 12 Applied Mathematics?
Understand the core concepts first, then work through the 51 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Algebra?
There are 51 practice questions available for Algebra. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

For serious students

Get the full Algebra chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 12 Applied Mathematics.