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Real and Complex Numbers
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Under property of equality of real numbers, a = b then ac = bc and ∀ a, b, c ∈ R is called
multiplicative property
symmetric property
additive property
transitive property
Number in form z = a + bι where a, b ∈ R and i = √−1 is called a
rational number
prime number
Integer
complex number
In a + (-a) = 0 = (-a) + a, ‘-a’ is called
associative property
additive inverse
additive identity
commutative property
Real numbers are represented geometrically on
frequency distribution
number line
pi chart
column graph
A−1 and 1⁄a are called
multiplicative identity
multiplicative inverse
additive inverse
additive identity
Numbers a + bι and a - bι are said to be
conjugate of each other
additive inverse of each other
factors of each other
multiplicative inverse of each other
As per properties of real numbers with respect to addition,
(a +
b) c + = a +
(b +
c) and ∀ a, b, c ∈ R is
associative property
commutative property
additive inverse
closure property
Decimal representation are neither terminating nor repeating in blocks for
quadratic fraction
irrational numbers
linear fraction
rational numbers
Under property of equality of real numbers, a = a and ∀ a ∈ R is called
additive property
reflexive property
transitive property
symmetric property
Conjugate of 6 + 3ι is
&minus6-3ι
6-3ι
6 + 3ι
&minus6 + 3ι
Numbers in form of p⁄q where p, q are integers and q is not zero are called
whole numbers
prime numbers
irrational numbers
rational numbers
Every real number is
a complex number
a positive integer
a negative number
a rational number
Decimal fraction in which some digits are repeated again and again in same order in its decimal part is called
non-terminating decimal fraction
linear fraction
terminating decimal fraction
quadratic fraction
For all a, b, c ∈ R, a
(b +
c) = ab + ac is said to be
right distributive law
left distributive law
left multiplicative law
right multiplicative law
An identity that enables us to enlarge number system to contain solution of every algebraic equation of form x² = −a is known as
logarithm
anti logarithm
iota
Radical
In a × 1 = a = 1 × a and ∀ a ∈ R then ‘1’ is called
additive inverse
multiplicative inverse
multiplicative identity
additive identity
Under property of equality of real numbers, a = b then a + c = b + c and ∀ a, b, c ∈ R is called
symmetric property
additive property
multiplicative property
transitive property
Set of real numbers is denoted by
R'
Q
Q'
R
In exponential notation an, ‘a’ is called
Radical
BASE
coefficient
exponent
2⁄10 = 0.2 is example of
linear fraction
quadratic fraction
non-terminating decimal fraction
terminating decimal fraction
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