Given A= {0, 1, 2}, `B= {x in R|0 le x le 2`}. Then, A= B.

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 multiple of 4} is in equivelance.

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 each case.

Are the following pari of sets equal? Give reasons A= {x : x in Z, x^(2) le 8} B= {y : y in R, y " is a solution of "y^(2)-4y+3=0}

The area of the region bounded by the curve y=2 sin x ,X - axis and 0 le x le pi is ……Sq. units.

Let f(x) = 1 + 4x - x^(2), AA x in R g(x) = max {f(t), x le t le (x + 1), 0 le x lt 3min {(x + 3), 3 le x le 5} Verify continuity of g(x), for all x in [0, 5]

The set {x in R : 1 le x lt 2} can be written as "…………" .