Science (English Medium) Class 11 - CBSE Question Bank Solutions

If R = [(x, y) : x, y ∈ W, 2x + y = 8], then write the domain and range of R.

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B

Let A = [1, 2, 3, 5], B = [4, 6, 9] and R be a relation from A to B defined by R = {(x, y) : x − yis odd}. Write R in roster form. 

If A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5}, then (A − B) × (B − C) is

If R is a relation on the set A = [1, 2, 3, 4, 5, 6, 7, 8, 9] given by x R y ⇔ y = 3x, then R =

Let A = [1, 2, 3], B = [1, 3, 5]. If relation R from A to B is given by = {(1, 3), (2, 5), (3, 3)}, Then R⁻¹ is

If A = [1, 2, 3], B = [1, 4, 6, 9] and R is a relation from A to B defined by 'x' is greater than y. The range of R is

If R = {(x, y) : x, y ∈ Z, x² + y² ≤ 4} is a relation on Z, then the domain of R is ______.

A relation R is defined from [2, 3, 4, 5] to [3, 6, 7, 10] by : x R y ⇔ x is relatively prime to y. Then, domain of R is

A relation ϕ from C to R is defined by x ϕ y ⇔ |x| = y. Which one is correct?

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

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

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

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

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

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

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

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

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

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

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

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

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

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