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Karnataka Board PUCPUC Science Class 11

PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

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Let R be a relation on N defined by x + 2y = 8. The domain of R is

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

R is a relation from [11, 12, 13] to [8, 10, 12] defined by y = x − 3. Then, R−1 is

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

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If the set A has p elements, B has q elements, then the number of elements in A × B is

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

Let R be a relation from a set A to a set B, then

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

If R is a relation from a finite set A having m elements of a finite set B having n elements, then the number of relations from A to B is

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

If R is a relation on a finite set having n elements, then the number of relations on A is

[2] Relations and Functions
Chapter: [2] Relations and Functions
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statements.  

\[a \subset \left\{ a, b, c \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]  

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statements are correct?
Write a correct form of each of the incorrect statement. 

\[a \in {\left\{ a \right\}, b}\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a \right\} \subset \left\{ \left\{ a \right\}, b \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.  

\[\left\{ b, c \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statemen are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\phi \subset \left\{ a, b, c \right\}\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {ab, {cd}, e}. Which of the following statement are false and why?

\[\left\{ c, d \right\} \subset A\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[\left\{ c, d \right\} \in A\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[\left\{ \left\{ c, d \right\} \right\} \subset A\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[a \in A\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Let A = {ab, {cd}, e}. Which of the following statements are false and why? 

\[\left\{ a, b, e \right\} \in A\] 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined
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