MathematicsTime : 40 mts Mark : 20.......................................................................................................................(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)​