ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 √(-1b) =? b i -i b b2 i√b
2 Which of the following has the same value as i113 i -1 -i 1
3 What is the conjugate of -6 -i -6 +i 6 + i -6 -i 6 -i
4 Which element is the additive inverse of (a,b) in Complex numbers (a,0) (0,b) (a,b) (-a,-b)
5 If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2 36 +(-32)i -36+32i 6+(-11)i 0, +(-12)i
6 If Z1 = 1+ i, Z2 = 2+3i , then |Z1 -Z2| =? √5 √7 -1-2i √3
7 i101 = i i<sup>2</sup> -i -1
8 The polar form of complex number x ≠ I y = r&nbsp;cos θ+ r sin&nbsp;θ r cos θ+ is sin&nbsp;θ cos θ+ r sin&nbsp;θ i cos θ+ i sin&nbsp;θ
9 (7,9) +(3,-5) = (4,4) (10,4) (9,-5) (7,3)
10 √-1 b= b 2 2b None of these
11 i9 = i<sup>2</sup> -1 1 i
12 i2 =  1 2 -1 0
13 (a,0) x (c,0) = (0,ac) (ac,0) (0,0) (a,c)
14 (a,b) +(-a,-b) = (0,0) (a,b) (-a,-b) (1,1)
15 The conjugate of √5 i is √5 -√5 i i 5i
16 (a +bi) -c (c +di) = (a +b) = (c +d) (a +c) + i(b +d) (a -c) + (c -d)<i>i</i> (a -c) +(b -d)&nbsp;<i>i</i>
17 i3 = -1 i -i 1
18 In (x +iy) y is called as Imaginary part Complex number Real part None of above
19 In (x + iy) x is the known as Imaginary part of complex number Real part of complex number Complex number None of above
20 i = √1 √2 √-2 √-1
21 The property used in -3 <-2 ⇒0 <1 Commutative property Additive property of inequality Additive inverse Additive identity
22 (√3+√5)+√7 = √3 +(√5 +√7) property used in above is Commutative property of addition Closure property of addition Additive inverse Associative property w.r.t to adition
23 (a-1)-1 = a-1 a -a None of above
24 a >b ⇒a +c >b +c is known as Trichotomy property Additive property of inequality Transitive property Multiplicative property
25 a >b, b >c ⇒a >c is a Multiplicative property Additive property Trichotomy property Transitive property of inequality
26 If a > b or a < b than a = b is a Additive property Transitive property Trichotomy property of inequality
27 ∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a Symmetric property Cancellation property w.r.t multiplication Reflexive property Transitive property
28 ∀a,b, c ε R,a +c = b + c = > a = b Reflexive property Symmetric property Cancellations property w.r.t. addition Transitive property
29 ∀a,b ε R, ab = be is a Commutative law of multiplication Closure law of multiplication Associative law of multiplication Multiplicative identity
30 a.a-1 = a-1.a = 1 is a Commutative law of multiplication Multiplicative identity Associative law of multiplication Multiplicative inverse
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