ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 Evert element of A is in B Every element of B is in A Every element of A is in B' Every element of A is in A
2 Natural numbers Whole numbers Integers Rational numbers
3 {1, 2, 3, 4,.....} is set of ______ Natural numbers Whole numbers Integers Rational numbers
4 The number of different ways of describing a set is One Two Three Four
5 The set (Z, +) forms a group Forms a group w.r.t addition Forms a group w.r.t multiplication Non commutative group w.r.t multiplication Doesn't form a group
6 Power set of X i.e P(X)..........under the binary operation of union U Forms a group Does not form a group Has no identity element Infinite set although X is infinite
7 The set {Z\ {0} } is group w.r.t Addition Multiplication Division Subtraction
8 The set R is ........w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
9 The set {1,-1,i,-i} Form a group w.r.t addition Form a group w.r.t multiplication Does not form a group w.r.t multiplication Not closed under multiplication
10 The set of complex numbers forms Commutative group w.r.t addition Commutative group w.r.t multiplication Commutative group w.r.t division Non commutative group w.r.t addition
11 The set {-1,1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
12 The set {x +iy / x, y ∈ Q} forms a group under the binary operation of Addition Multiplication Division Both addition and multiplication
13 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
14 To each element of a group there corresponds ............. inverse element Two One No Three
15 The function {f(x,y)|y = ax2 +bx +c} is One-one function Constant function Onto function Quadratic function
16 A function whose range is just one element is called One-one function Constant function Onto function Identity function
17 A function in which the second elements of the order pairs are distinct is called Onto function One-one function Identity function Inverse function
18 The set of the first elements of the orders pairs forming a relation is called its Relation in B Range Domain Relation In A
19 (A ∩ B)c = A∩ B (A ∪ B)c Ac∪Bc Φ
20 The set { {a,b} } is Infinite set Singleton set Two points set Empty set
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