JEE-Main - Grade 11 - Mathematics - Sets - Importance and Snapshot of Sets - Study ref# 602

Introduction:
The concept of set is the fundamental part of Mathematics.
The study of geometry, probability, trigonometry etc. needs the knowledge of
set.
The theory of set was first developed by German
mathematician Georg Cantor. H... read more

JEE-Main - Grade 11 - Mathematics - Sets - Importance and Snapshot of Sets - Study ref# 603

Following sections must be covered to understand the Sets:1. Sets and their
representation2. The empty Sets3. Finite And Infinite
Sets4. Equal Sets5. Sub Sets6. Power Sets7.Universal Sets8. Venn Diagram9.&n... read more

JEE-Main - Grade 11 - Mathematics - Sets - Target Setup for Sets - Study ref# 604

Student requires to achieve the following milestones to get better grip over Sets. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subject Test000... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Importance and Snapshot of Relations and Functions - Study ref# 605

Introduction:
Much of the mathematics is finding the pattern. In our
daily life, we come across patterns that characterizes relations such as
sister, brother, father, son. In mathematics also, we come across relations
such m number i... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Importance and Snapshot of Relations and Functions - Study ref# 606

Following sections must be covered to understand the
Relations and Functions:
1. Cartesians Products of Sets
2. Relations
3. Functions... read more

JEE-Main - Grade 11 - Chemistry - Structure of Atom - Study ref# 1217

Which of the following orbitals are degenerate?
Answer: The orbitals which belong to same subshell and same shell
are called degenerate orbitals. ()
and are the two sets of
degenerate orbitals. ... read more

Is the following pair of set equal? Give reason.
(i)A={2,3},B={x: x is a solution of x2+5x+6=0} Answer: A={2,3} and B={ x: x is a solution of x2+5x+6=0}
First we find the solution of x2+5x+6=0
x = -2... read more

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. Answer: (i) ... read more

State whether each of the following statements is true or
false. Justify your answer.
(i){2, 3, 4, 5} and {3, 6} are disjoint sets.
(ii){a,e,i,o,u} and {a,b,c,d} are disjoint sets.
(iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoint set... read more

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′ (ii)(A∩B)′=A′∪B′ Answer: (i) A∪B={2,4,6,8}∪{2,3,5,7}
A∪B={2,3... read more

Let U be the set of all triangles in a plane. If A is the
set of all triangles with atleast one angle different from 60°, what is A ′? Answer: A is the set of triangles in which no triangle is
equilateral because one angle is differen... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Study ref# 2390

State whether each of the following statements are true or
false. If the statement is false, rewrite the given statement correctly.
(i) If P={m,n} and Q={n,m} ,then P×Q={(m,n),(n,m)}.
(ii)If A and B are non-empty sets, then A×B is a ... read more

JEE-Main - Grade 11 - Mathematics - Relations and Functions - Study ref# 2395

The figure shows the relationship between the sets P and
Q.
Write this relation
(i)in set builder form (ii)in roster form
What are its domain and range?
P Q
... read more