NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2

The NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.2 solve every question of the second exercise, according to the latest 2026-27 CBSE syllabus. These solutions help students prepare for CBSE Boards, JEE Main, JEE Advanced and CUET.

Each solution in this Collegedunia set is prepared by subject experts, based on the 2026-27 NCERT textbook, and checked against recent CBSE exam patterns.

Exercise 1.2 moves from writing sets to sorting them by type. The exercise has 6 questions built around these skills:

• Spotting the empty set (null set) from a given description.
• Telling a finite set apart from an infinite set.
• Checking whether two sets are equal using their elements.

Topics Covered in Sets Exercise 1.2

This exercise groups sets by their size and their members. A set with no element is the empty set, written ∅ or { }. A set whose count of elements ends is a finite set; one that never ends is an infinite set. Two sets are equal when they have exactly the same elements.

• Empty set: a set like {x : x is a natural number, x < 5 and x > 7}, which has no member.
• Finite set: the set of months in a year has 12 elements, so it ends.
• Infinite set: the set of multiples of 5 never stops.
• Equal sets: {a, b, c, d} and {d, c, b, a} are equal because order does not matter.

Important: a set counts as empty only when no object at all fits the rule. The set of even prime numbers is not empty because 2 is an even prime.

Question-wise Breakdown of Sets Exercise 1.2

The NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.2 answer all 6 questions in order. The table shows what each question asks so students can plan their practice. Full step-by-step answers are inside the PDF above.

The last three questions all test equal sets, so students get strong practice on comparing members.

Key Definitions for Sets Exercise 1.2

Exercise 1.2 rests on four clear definitions rather than formulas. Students should learn each one before attempting the questions.

Tip: equal sets are always equivalent, but equivalent sets need not be equal. {1, 2} and {a, b} are equivalent, not equal.

Common Mistakes in Sets Exercise 1.2

Students lose easy marks in Exercise 1.2 on small slips of reasoning. The list below covers the errors that show up most often on the NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.2.

• Calling {0} or {∅} an empty set. Both actually have one element, so neither is empty.
• Marking a large finite set as infinite. The set of prime numbers below 99 is finite because it ends.
• Thinking order or repetition changes a set. {8, 4, 16, 18} is not equal to {4, 8, 12, 16}.
• Confusing equal and equivalent. Same count is not the same as same elements.

Practice Questions for Sets Exercise 1.2

After reading the solutions, students should test themselves on the same question types. The card below opens a set of solved practice questions with step-by-step answers for Exercise 1.2.

Other Exercises of Chapter 1 Sets

Chapter 1 Sets has five exercises plus a Miscellaneous Exercise. Use the table to move to the next exercise once Exercise 1.2 is done.

More Class 11 Maths Sets Resources

Pair the solutions with the notes and the NCERT book PDF for full chapter revision. All three resources for Chapter 1 Sets are linked below.

NCERT Solutions for Other Class 11 Maths Chapters

Students can move to the first exercise of any other Class 11 Maths chapter using the cross-sell table below.

FAQs on NCERT Solutions for Class 11 Maths Chapter 1 Sets Exercise 1.2