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 5

Let

R

be the set of all real numbers. Consider the following subsets of the plane

R \times R : S = \{(x, y) : y = x + 1 and 0 < x < 2\}

and

T = \{(x, y) : x - y is an integer\}

. Then which of the following is true?

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

HARD

11th Tamil Nadu Board

IMPORTANT

Mathematics Standard 11 Vol I>Chapter 1 - Sets, Relations and Functions>Exercise>Q 7

The number of students who take both the subjects Mathematics and Chemistry is

70 .

This represents

10 %

of the enrolment in Mathematics and

14 %

of the enrolment in Chemistry. The number of students who take at least one of these two subjects is

EASY

11th Tamil Nadu Board

IMPORTANT

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

If

n ((A \times B) \cap (A \times C)) = 8

and

n (B \cap C) = 2,

then

n (A)

is