HSC Commerce (English Medium) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Calculate the correlation coefficient from the following data, and interpret it.

Calculate the correlation coefficient from the following data and interpret it.

If (x – 1, y + 4) = (1, 2) find the values of x and y.

If `(x + 1/3, y/3 - 1) = (1/3 , 3/2)`, find x and y.

If P = {1, 2, 3} and Q = {6, 4}, find the sets P × Q and Q × P.

Express {(x, y) / x² +y² = 100 where x, y ∈ W} as a set of ordered pairs.

Write the domain and range of the following relation: {(a, b) / a ∈ N, a < 6 and b = 4}

Write the domain and range of the following relation: {(a, b) / a, b ∈ N, a + b = 12}

Write the domain and range of the following relation: (2, 4), (2, 5), (2,6), (2, 7)}

Find the following relation as sets of ordered pairs:
{(x, y) / y = 3x, x ∈ {1, 2, 3}, y ∈ {3, 6, 9, 12}}

Find the following relation as sets of ordered pairs:
{(x, y) / y > x + 1, x ∈ {1, 2} and y ∈ {2, 4, 6}}

Find the following relation as sets of ordered pairs:
{(x, y) / x + y = 3, x, y ∈ {0, 1, 2, 3}}

If A = {1, 2, 3} and B = {2, 4}, state the elements of A × A, A × B, B × A, B × B, (A × B) ∩ (B × A).

If A = {– 1, 1}, find A × A × A.

Determine the Domain and Range of the following relations : R = {(a, b) / a ∈ N, a < 5, b = 4}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₁ = {(1, 4), (1, 5), (1, 6)}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₂ = {(1, 5), (2, 4), (3, 6)}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₃ = {(1, 4), (1, 5), (3, 6), (2, 6), (3, 4)}

If A = {1, 2, 3}, B = {4, 5, 6} which of following are relation from A to B : R₄ = {(4, 2), (2, 6), (5, 1), (2, 4)}

Express the following recurring decimal as a rational number:

`0.bar32`