ECAT Mathematics Chapter 23 With Answers

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ECAT Mathematics Chapter 23

Sr. # Questions Answers Choice
1 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
2 The statement that a group can have more than one identity elements is True False Ambiguous Some times true
3 The set {Z\{0}} is group w.r.t Addition Multiplication Division Subtraction
4 The set R is ______ w.r.t subtraction Not a group A group No conclusion drawn Non commutative group
5 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
6 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
7 The multiplicative inverse of -1 in the set {1-, 1} is 1 -1 +-1 0
8 The set {-1, 1} is Group under the multiplication Group under addition Does not form a group Contains no identity element
9 Addition Multiplication Division Both addition and multiplication
10 The set of integer is Finite group A group w.r.t addition A group w.r.t multiplication Not a group
11 To each element of a group there corresponds ______ inverse element Two One No Three
12 The function f{(x, y) | y = ax2+ bx + c} is One-one function Constant function Onto function Quadratic function
13 The graph of a quadratic function is Circle Straight line Parabola Triangle
14 A function whose range is just one elements is called One-one function Constant function Onto function Identity function
15 The set of the first elements of the orders pairs forming a relations is called its Relation in B Range Domain Relation in A
16 If #n = (n-5)2+ 5, then find #3 x #4. 54 12 4 9
17
18 The set { {a, b} } is Infinite set Singleton set Two points set Empty set
19 Singleton set A set with two points Empty set None of these
20 Φset is the ______ of all sets? Subset Union Universal Intersection
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