class 11

Math

Algebra

Sets

If $X={4_{n}−3n−1:n∈N}andY={9(n−1):n∈N}$, where N is the set of natural numbers, then $X∪Y$is equal to

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

Directions: in the figure given below, the circle represents young persons, the triangle represents uneducated persons and the rectangle represents employed persons. Study the figure carefully and answer the questions given below: The region which represents educated, employed young persons, is denoted by

If $X$ and $Y$ are two sets such that $X$ has $40$ elements, $X∪Y$ has $60$ elements and $X∩Y$ has $10$ elements, how many elements does $Y$ have?

Directions: In each of the following questions below, a statement is given followed by two conclusions numbered I and II. You have to decide which alternative among the given options follow from the given statement. Statements: Water supply in wards A and B of the city will be affected by on Friday because repairing work of the main lines is to be carried out. Conclusions: I. The residents in these wards should economise on water on Friday. II. The residents in these wards should store some water on the previous day.

Which of the following sets are finite or infinite(i) The set of months of a year(ii) ${1,2,3,…}$(iii) ${1,2,3,…99,100}$(iv) The set of positive integers greater than 100(v) The set of prime numbers less than 99

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.

Consider the sets A and B of Example 12. Find $A∩B˙$

Draw appropriate Venn diagram for each of the following :(i) $(A∪B)_{prime}$ (ii) $A_{prime}∩B_{prime}$ (iii) $(A∩B)_{prime}$ (iv) $A_{prime}∪B_{prime}$