HSC Science (Electronics) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Select the correct answer from given alternative.

If the two sets A and B are having 43 elements in common, then the number of elements common to each of the sets A × B and B × A is

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A ∪ B

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11} C = {3, 5, 8, 9, 12} Write down the set B ∩ C

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A – B

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set B ∩ C'

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A ∪ B ∪ C

Answer the following:

If U = {x/x ∈ N, 1 ≤ x ≤ 12}, A = {1, 4, 7, 10}, B = {2, 4, 6, 7, 11}, C = {3, 5, 8, 9, 12} Write down the set A ∩ (B ∪ C)

Answer the following:

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)

Answer the following:

If A = {−1, 1} , find A × A × A

Let f : {2, 4, 5} → {2, 3, 6} and g : {2, 3, 6} → {2, 4} be given by f = {(2, 3), (4, 6), (5, 2)} and g = {(2, 4), (3, 4), (6, 2)}. Write down g ° f

If f(x) = 2x² + 3, g (x) = 5x − 2, then find f ° g

If f(x) = 2x² + 3, g(x) = 5x − 2, then find g ° f

If f(x) = 2x² + 3, g(x) = 5x − 2, then find f ° f

If f(x) = 2x² + 3, g (x) = 5x − 2, then find g ° g

Verify that f and g are inverse functions of each other, where f(x) = `(x - 7)/4`, g(x) = 4x + 7

Verify that f and g are inverse functions of each other, where f(x) = x³ + 4, g(x) = `root(3)(x - 4)`

Verify that f and g are inverse functions of each other, where f(x) = `(x + 3)/(x - 2)`, g(x) = `(2x + 3)/(x - 1)`

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 5x²

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 8

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = `(6x - 7)/3`