Question

Mathematics

Time : 40 mts Mark : 20

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(1).(a) Let n(A)= 3 n(B)= 4 then the number of relations from A to B is

............. ...

(b) Let A= { 1,2,3....,10} Define R= { (x,y) : y – 2x = 0 x,yє A }

Write R in Roster form . Find Domain & Range (3)

(2) Define Modulus function . Draw the graph of f(x) = │x│- 2 .Find the

range of f. (3)

(3) (a) If ( x+1 , y- 1) = (2,3) Find x and y

2

(b) f(x) = 2x2

+3 g(x) = x-2 Find (f+g)(x) and (f-g)(x) (3)

(4) (a) Let A = { -3,2,3} B ={ 4,9} Write AXB

R

A B

(b) Write R in set builder form

(c) What is the number of non empty relations from A to B (4)

(5) (a) A = { 1,2 } Write AXAXA

(b) Find the domain and range of f(x) = x

x + 1

(c) g(x) = x2

+ x Show that (fg) (2) = 4 (4)

(6)(a) Write the relation R = { ( x,x2

) : x is a prime number < 8 }

(b) Let A = { 1,2,3} B = {3,4} Write a function from A to B (3)​

Answer 1

Answer:

Sorry because it is too long...