Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 8

EASY

11th Tamil Nadu Board

IMPORTANT

Earn 100

From the curve $y = \sin x$ , draw $y = \sin | x |$ (Hint: $\sin (- x) = - \sin x$ )

Important Questions on Sets, Relations and Functions

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 1

If

A = \{(x, y) : y = e^{x}, x \in R\}

and

B = \{(x, y) : y = e^{- x}, x \in R\}

then

n (A \cap B)

is

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 2

If

A = {(x, y) : y = \sin x, x \in R}

and

B = {(x, y) : y = \cos x, x \in R}

then

A \cap B

contains

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 3

The relation

R

defined on a set

A = {0, - 1, 1, 2}

by

x R y

if

|x^{2} + y^{2}| \leq 2,

then which one of the following is true?

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 4

If

f (x) = | x - 2 | + | x + 2 |, x \in ℝ,

then

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 6

Let

A

and

B

be subsets of the universal set

N,

the set of natural numbers. Then

A^{'} [(A \cap B) \cup B^{'}]

is

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 9

If

n (A) = 2

and

n (B \cup C) = 3,

then

n [(A \times B) \cup (A \times C)]

is

HARD

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 11

For non-empty sets

A

and

B

, if

A \subset B

then

(A \times B) \cap (B \times A)

is equal to

EASY

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 12

The number of relations on a set containing

3

elements is