Fill in the blanks:
Let A = {1,2,3,4,5}, then the set {(x,y):x,y`in`A and x+y = 5} is ________

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

Fill in the blanks. If y=x^(3) then y^(2) is equal to ______.

Fill in the blanks The area of the region bounded by the curve x= y^2 , y-axis and the lines y = 3, y = 4 is…….. .

Fill in the blanks: The tangent to the curve y = x^3 at the point (4,8) is ______.

Fill in the blanks Area enclosed by the curve y = x^(1//3) , the x-axis and the lines x= 1 and x= 8 is…….. .

If R is a relation on the set S = {1,2,3,4,5,6,7,8,9) given by xR y ,y = 3x, then R = is

Fill in the blanks Area bounded by the curves y = x^2-1 and y= -x^2+1 is…….. .

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find range of R^-1

Fill in the blanks: If y = 2 tan^-1 x + sin^-1 ((2x)/(1+x^2)) for all x, then ………… le y le …….

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find R