Question # 1

The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

The symbol of irrational is

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W

N

Q

Q'

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

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The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

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0

1

-1

2

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

The polar form of complex number x ≠ I y =

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r cos θ+ r sin θ

r cos θ+ is sin θ

cos θ+ r sin θ

i cos θ+ i sin θ

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 ε R, ab = be is a

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplicative identity

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

i¹⁰¹ =

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i

i²

-i

-1

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15

15 i

-15 i

-15

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

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

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a,a = a²

a,a = 1

a,a = 0

None of these

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Name the property used in 4.1 + (-4.1) = 0

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Additive inverse

Multiplication inverse

Additive identity

Multiplication identity

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Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

For any real numbers x,y,xy=o ⇒

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x ≠ 0 ∧ y ≠ 0

x = 0 ∨ y = 0

x = 0

y = 0

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Reflexive property

Symmetric property

Transitive property

Additive property

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A prime number

An integer

A whole number

An irrational number

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