Question # 1

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

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if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

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√3 i

√7

-2-i

√5

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∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

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(a, b) + (-a, -b) =

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(0,0)

(a, b)

(-a, -b)

(1, 1)

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

(a-1)-1 =

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a-1

a

-a

None of above

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

i³=

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-1

i

-i

1

Gooch crucible is made of :

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Brass.

Porcelain.

Bronze.

Gold.

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

If Z = (1,2), then Z^-1= ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

i² =

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1

2

-1

0

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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1

-1

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

The additive inverse of 1 is

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1

-1

0

Does not exist

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If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

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are real no

both are not real

are imaginary no

both are imaginary

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

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