MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Classical Thinking>Q 39

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$Y = {1, 2, 3, 4, 5}, A = {1, 2}, B = {3, 4, 5}$ and $ϕ$ denote the null set. If $A \times B$ denotes the cartesian product of sets $A$ and $B,$ then $(Y \times A) \cap (Y \times B)$ 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>Classical Thinking>Q 40

The domain of the relation

R = {(1, 3), (3, 5), (2, 6)}

is

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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>Classical Thinking>Q 41

Let

R = {(a, a)}

be a relation on a set

A .

Then

R

is

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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>Classical Thinking>Q 42

In the set

A = {1, 2, 3, 4, 5},

a relation

R

is defined by

R = {(x, y) ∣ x, y \in A

and

x < y} .

Then

R

is

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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>Classical Thinking>Q 43

If

R \subset A \times B

,

S \subset B \times C

be two relations, then

(S o R)^{- 1} =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Classical Thinking>Q 44

If a function

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

for all

x \in R,

then

f (- 1) =

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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>Classical Thinking>Q 45

If a function

f (x)

is given as

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

for all

x \in R,

then

f (a + h) =

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 6 - Sets, Relations and Functions>Classical Thinking>Q 46

If

f (x) = x^{2} + \frac{1}{x}, x \neq 0

then

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

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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>Classical Thinking>Q 47

If

f (x) = x^{2} - 6 x + 9, 0 \leq x \leq 4,

then

f (3) =