CBSE Class 11 Mathematics Relations and Functions Assignment Set E

Concept:

Cartesian products of sets – equality of ordered pairs- triple product- relations- functions- domain- range- different types of functions- algebra of functions.

Notes:

• If (a,b) = (c,d) then a = c and b = d.

• AxB = { (x,y) / x ϵ A, y ϵ B }

• AxAxA = { (x,y,z) / x, y, z ϵ A }

• A relation R is a subset of the Cartesian product.

• A function is a relation with every element of first set has one only one image in second set.

• The set of all first elements of the ordered pairs in a function is called domain.

• The set of all second elements of the ordered pairs in a function is called the range.

• Second set itself is known as co-domain.

Text book questions

Ex: 2.1 Questions: 1, 2*, 5*, 7*

Ex: 2.2 Questions: 1, 2, 6, 7*

Ex:2.3 Questions: 2*, 5*

Misc. Ex: Questions: 3*, 4, 6, 8, 11, 12

Example Question: 22*

Extra/HOT Questions

1. Find x and y if (x²-3x, y²-5y) = (-2, -6 ).

2. Draw he graph of the following functions:

a) Modulus function in [ -4, 4 ]

b) Signum function in [-6, 6 ]

c) Greatest integer function in [-3, 4 ]

Refer to attached file for CBSE Class 11 Mathematics Relations and Functions Assignment Set E