Generate Quiz 6967A89DE6D38

C (singleton) is the response.

a) Finite set is the set having countable elements.

b) Someone empty set is devoid of elements.

c) Singleton has only one element.

d) Infinite set had uncountable number of elements.

The set is a singleton since there is only one even prime natural number, which is 2.

Any number that can be represented as a fraction with an integer denominator (q) and numerator (p) and a non-zero denominator (q ≠ 0) is considered rational. This definition is exactly captured by the expression qp.

There is no definition for 1/0 and ∵ 1+1 = 2 ∉{0,1}.

Simple fractions cannot be used to express irrational numbers. yn is irrational since a prime number’s square root cannot be represented as a fraction. This is the right response.

Response: d (1)

1+i1+ 1i is the solution.

1+i1 -i = 1+i1 -i ×1+i1+i= 1+i(1+i)(1-i)(1+i)= (1+i)212- i2=12 +21i+ i212 – i2 =1+2i+(-1)1-(-1)

= 1+2i-11+1=2i 2 = i

Take the modulus now.

= 02+12 = 0+1 = 1 = 1

A complex number z’s conjugate, represented by zˉ, is created by altering the sign of its imaginary unit term. One way to conceptualize a real number is as a complex number with zero as the imaginary unit term. The complex number 3+0i, for instance, can be used to represent the number 3. Since there is no imaginary unit term to alter the sign of a real number, its conjugate is just the number itself. As a result, a real number’s conjugate is also a real number.

Abscissa: A point’s horizontal coordinate in the Cartesian plane is known as its abscissa. The abscissa of point A is represented by an in the ordered pair (a, b).

Ordinate: A point’s vertical coordinate in the Cartesian plane is its ordinate. The ordinate of point A is denoted by b in the ordered pair (a, b).

The horizontal and vertical components that collectively define a point’s location are referred to as its coordinates in the Cartesian plane. Together, a and b are point A’s coordinates since (a, b) denotes the ordered pair for that point.

As a result, every response option is accurate.