Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

The given figure shows a relationship between the sets P and Q. Write this relation

1. in set-builder form.
2. in roster form.

What is its domain and range?

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}.

1. Write R in roster form
2. Find the domain of R
3. Find the range of R.

Let R be the relation on Z defined by R = {(a, b): a, b ∈ Z, a – b is an integer}. Find the domain and range of R.

The relation f is defined by f(x) = `{(x^2,0<=x<=3),(3x,3<=x<=10):}`

The relation g is defined by  g(x) = `{(x^2, 0 <= x <= 2),(3x,2<= x <= 10):}`

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Is the following true?

f is a relation from A to B

Justify your answer in case.

Express the given complex number in the form a + ib: `(5i) (- 3/5 i)`

Express the given complex number in the form a + ib: i^–39

Express the given complex number in the form a + ib: `(1/5 + i 2/5) - (4 + i 5/2)`

Express the given complex number in the form a + ib:

`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`

Express the given complex number in the form a + ib: `(1/3 + 3i)^3`

Express the given complex number in the form a + ib: `(-2 - 1/3 i)^3`

Evaluate: `[i^18 + (1/i)^25]^3`