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#### Relations and Functions One Mark

10th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 10
10 x 1 = 10
1. If n(A x B) =6 and A={1,3} then n(B) is

(a)

1

(b)

2

(c)

3

(d)

6

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

(a)

8

(b)

20

(c)

12

(d)

16

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 x C) ⊂ (B x D)

(b)

(B x D) ⊂ (A x C)

(c)

(A x B) ⊂ (A x D)

(d)

(D x A) ⊂ (B x A)

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)

3

(b)

2

(c)

4

(d)

8

5. The range of the relation R ={(x,x2) |x is a prime number less than 13} is

(a)

{2,3,5,7}

(b)

{2,3,5,7,11}

(c)

{4,9,25,49,121}

(d)

{1,4,9,25,49,121}

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

(a)

(2,-2)

(b)

(5,1)

(c)

(2,)

(d)

(3,-2)

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

(a)

mn

(b)

nm

(c)

2mn-1

(d)

2mn

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

(a)

(8,6)

(b)

(8,8)

(c)

(6,8)

(d)

(6,6)

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

(a)

Many-one function

(b)

Identity function

(c)

One-to-one function

(d)

Into function

10. If f(x)=2x2 and g(x)=$\frac{1}{3x}$, then f o g is

(a)

$\\ \frac { 3 }{ 2x^{ 2 } }$

(b)

$\\ \frac { 2 }{ 3x^{ 2 } }$

(c)

$\\ \frac { 2 }{ 9x^{ 2 } }$

(d)

$\\ \frac { 1 }{ 6x^{ 2 } }$