MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 49

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IMPORTANT

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The relation "is subset of" on the power set $P (A)$ of a set $A$ is

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Important Questions on Sets, Relations and Functions

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 50

Let

P = \{(x, y) ∣ x^{2} + y^{2} = 1, x, y \in R\} .

Then

P

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 51

R

is a relation from

\{11, 12, 13\}

to

\{8, 10, 12\}

defined by

y = x - 3 .

Then

R^{- 1}

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 52

If

R

be a relation from

A = {1, 2, 3, 4}

to

B = {1, 3, 5}

i.e.,

(a, b) \in R \Leftrightarrow a < b,

then

Ro R^{- 1}

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 53

If

f (x) = x^{2} - 2 x + 3,

then the value of

x

for which

f (x) = f (x + 1)

is

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 54

If

f (x) = a x^{2} + b x + 2

and

f (1) = 3, f (4) = 42,

then

a

and

b

respectively are

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 55

If

f (x) = x + \frac{1}{x},

such that

[f (x)]^{3} = f (x^{3}) + λ f (\frac{1}{x}),

then

λ =

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 56

If for non-zero

x,

a f (x) + b f (\frac{1}{x}) = \frac{1}{x} - 5

, where

a \neq b,

then

f (2) =

EASY

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Critical Thinking>Q 57

Let

A = {1, 2, 3}

and

B = {2, 3, 4},

then which of the following is a function from

A

to

B ?