10th Maths Chapter 1 - Online Test | Relations and Functions

10th Maths Chapter 1 - Online Test | Relations and Functions 

1➤ 1) If n(A × B) = 6 and A= {1, 3} then n (B) is ………….

a) 1b) 2c) 3d) 6

2➤ 2. A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A ∪ C) × B] is

a) 8b) 20c) 12d) 16

3➤ 3. If A = {1,2}, B = {1,2, 3, 4}, C = {5,6} and D = {5, 6, 7, 8} then state which of the following statement is true ……………….

(a) (A × C) ⊂ (B × D)(b) (B × D) ⊂ (A × C)(c) (A × B) ⊂ (A × D) (d) (D × A) ⊂ (B × A)

4➤ 4. If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

a)3b)2c)4d)6

5➤ 5. The range of the relation R = {(x,x ²) a prime number less than 13} is ……………………

1) {2, 3, 5, 7}2) {2, 3, 5, 7, 11}3) {4, 9, 25, 49, 121}4) {1, 4, 9, 25, 49, 121}

6➤ 6 .If the ordered pairs (a + 2, 4) and (5, 2a + b)are equal then (a, b) is

1) (2, -2)2) (5, 1)3) (2, 3)4) (3, -2)

7➤ 7. Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is ……………..

(1) mⁿ(2) nᵐ (3) 2ᵐⁿ – 1 (4) 2ᵐⁿ

8➤ 8. If {(a, 8),(6, b)}represents an identity function, then the value of a and b are respectively

(1) (8, 6) (2) (8, 8) (3) (6, 8) (4) (6, 6)

9➤ 9. Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A → B given by f = {(1, 4), (2, 8),(3,9),(4,10)} is a ……………

(1) Many-one function (2) Identity function (3) One-to-one function (4) Into function

10➤ 10. If f (x) = 2x² and g(x) = `\frac { 1 }{ 3x }`, then fog is …………..

1) `\frac{3}{2 x^{2}}`2) `\frac{2}{3 x^{2}}`3) `\frac{2}{9 x^{2}}`4) `\frac{1}{6 x^{2}}`

11➤ 11. If f: A → B is a bijective function and if n(B) = 7, then n(A) is equal to

(1) 7 (2) 49 (3) 1 (4) 14

12➤ 12. Let f and g be two functions given by f = {(0,1),(2, 0),(3-4),(4,2),(5,7)} g = {(0,2),(1,0),(2, 4),(-4,2),(7,0)} then the range of f o g is …………………

(1) {0,2,3,4,5} (2) {-4,1,0,2,7} (3) {1,2,3,4,5} (4) {0,1,2}

13➤ 13. Let f(x) = `\sqrt{1+x^{2}}` then

(1) f(xy) = f(x),f(y) (2) f(xy) ≥ f(x),f(y) (3) f(xy) ≤ f(x).f(y) (4) None of these

14➤ 14. If g= {(1,1),(2,3),(3,5),(4,7)} is a function given by g(x) = αx + β then the values of α and β are

(1) (-1,2) (2) (2,-1) (3) (-1,-2) (4) (1,2)

15➤ 15. f(x) = (x + 1)³ – (x – 1)³ represents a function which is

(1) linear (2) cubic (3) reciprocal (4) quadratic

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