Question # 1

The set of natural no. is closed under

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multiplication

subtraction

difference

division

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(a + b)c = a . c + bc

a + b = b + a

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

a(b+ c) = ab + ac

In R, the additive inverse of a is

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0

1

-a

1/a

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x

y

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1/3 is ______

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A prime number

An integer

A rational number

An irrational number

The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

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Additive property in R

Multiplication property in R

Cancellation property in R

Distribution property in R

(7,9) +(3,-5) =

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(4,4)

(10,4)

(9,-5)

(7,3)

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

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

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(0,0)

(a,b)

(-a,-b)

(1,1)

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

Some of two real numbers is also a real number , this property is called:

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Commutative property w.r.t addition

Closure property w.r.t. addition

Associative property w.r.t. addition

Distributive property w.r.t addition

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

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are real no

both are not real

are imaginary no

both are imaginary

∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

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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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a = a

a < a

a > a

a²= a

i =

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√(-1b) =?

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b i

-i b

b2

i√b

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

i^-(4n+2)= -------------------------------

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1

i

-1

-i

(a +bi) -c (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

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

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

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(0,0)

(a, b)

(-a, -b)

(1, 1)

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

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