ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 The set {-1,1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
2 The set {x +iy / x, y ∈ Q} forms a group under the binary operation of Addition Multiplication Division Both addition and multiplication
3 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
4 To each element of a group there corresponds ............. inverse element Two One No Three
5 The function {f(x,y)|y = ax2 +bx +c} is One-one function Constant function Onto function Quadratic function
6 A function whose range is just one element is called One-one function Constant function Onto function Identity function
7 A function in which the second elements of the order pairs are distinct is called Onto function One-one function Identity function Inverse function
8 The set of the first elements of the orders pairs forming a relation is called its Relation in B Range Domain Relation In A
9 (A ∩ B)c = A∩ B (A ∪ B)c Ac∪Bc Φ
10 The set { {a,b} } is Infinite set Singleton set Two points set Empty set
11 {x : xε Z and x < 1} is Singleton set A set with two points Empty set None of these
12 Φ set is the _______ of all sets Subset Union Universal Intersection
13 The set {-1,1} is closed under the binary operation of Addition Multiplication Subtraction Division
14 If x = 1/x for x ∈ R then the value of x is ±1 0 2 4
15 Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then A = B B = C A≠ C A ≠ B
16 If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) = 1 12 5 29
17 Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y = 3 1 2 4
18 If A ⊆ B then A ∪ B is A B A' A ∩B
19 For any set B,B∪B' is Is set B Set B' Universal set
20 The set (Z,+) forms a group Forms a group w.r.t addition Non commutative group w.r.t multiplication Forms a group w.r.t multiplication Doesn't form a group
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