True or False:
If A = {0,1,2} and B = `{xinR: 0 le x le 2}~, then A = B

Draw the graph of y=sin x and y=cosx, 0 le x le 2pi

Show that each of the relation R in the set A = {x in Z : 0 le x le 12} , given by: R = {(a, b) : a = b} , is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that each of the relation R in the set A = {x in z : 0 le x le 12} , given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalec relation. Find the set of all elements related to 1 in each case.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.

True/False: If E is an event, then 0 le P(E) le1

Find the absolute minimum value of y = x^2 - 3x in 0 le x le 2 .

The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y le 2pi , o le z le 2pi , has

If sin^-1 x = y , then 0 le y le pi

Find the aboslute minimum value of y = lambda - 3x in 0 le x le 2