Class 11

Math

JEE Main Questions

Sets

Consider the sets X and Y of Example 14. Find $X∩Y$

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Which of the following are examples of the null set?(i) Set of odd natural numbers divisible by $2$(ii) Set of even prime numbers(iii) \left \{ x : x \text { is a natural numbers, x < 5$and$x > 7}\right \}$(iv)$\left \{ y : y \text { is a point common to any two parallel lines}\right \}$$

Write a description of each shaded area. Use symbols $U,A,B,∪,∩$ and $∖$ as necessary.

Show that if $A⊂B$, then $C−B⊂C−A$

The Venn diagram shows sets $ξ$ , P and Q.The shaded region in the Venn diagram represents set:

Write the following sets in the set-builder form(i) ${3,6,9,12}$ (ii) ${2,4,8,16,32}$ (iii) ${5,25,125,625}$ (iv) ${2,4,6,...}$ (v) ${1,4,9,...,100}$

Choose the correct diagram to represent $A∩B$, when $A⊂B$

What universal set(s) would you propose for each of the following :(i) The set of right triangles. (ii) The set of isosceles triangles.

In the Venn diagram, the universal set, $ξ=P∪Q∪R$Which of the four regions labelled A, B, C and D represents the sets $P∩Q∩R$?