Class 11

Math

JEE Main Questions

Sets

Describe the following wets in Roster form: The set off squares of integers.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Which of the following are sets? Justify your answer.(i) The collection of all the months of a year beginning with the letter J.(ii) The collection of ten most talented writers of India.(iii) A team of elevens best–cricket batsmen of the world.(iv) The collection of all boys in your class.(v) The collection of all natural numbers less than 100.(vi) A collection of novels written by the writer Munshi Prem Chand.(vii) The collection of all even integers.(viii) The collection of questions in this chapter.(ix) A collection of most dangerous animals of the world.

Find sets A, B and C such that $A∩B$, $B∩C$ and $A∩C$ are non empty sets and $A∩B∩C=ϕ$.

Let $A={a,b}$,$B={a,b,c}$.Is $A⊂B$? What is $A∪B$?

Taking the set of natural numbers as the universal set, write down the complements of the following sets:(i) {$x:x$ is an even natural number}

If $A×B={(p,q),(p,r),(m,q),(m,r)}$, Find $A$ and $B$

Direction: In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: All ships are cars. No cycle is ship. Some trucks are cycles. Conclusions: I Some trucks are ships. II Some cars are trucks. Ill All cycles are trucks. IV Some cars are cycles.

Write the following sets in roster form:(i) A = {x : x is an integer and $3<x<7$}(ii) B = {x : x is a natural number less than 6}(iii) C = {x: x is a two digit natural number such that the sum of its digits (iv) D = {x : x is a prime number which is divisor of 60} (v) E = The set of all letters in the word TRIGONOMETRY (vi) F = The set of all letters in the word BETTER

If $U={1,2,3,4,5,6,7,8,9},A={2,4,6,8}$ and $B={2,3,5,7}.$ Verify that(i) $(A∪B)_{′}=A_{′}∩B_{′}$ (ii) $(A∩B)_{′}=A_{′}∪B_{′}$