Question

Any number in the form of a ± bi , where a and b are real numbers and b 0 is considered a pure imaginary number.

true
false

i2 = sqrt-1
true
false

Complex numbers can be graphed on the xy coordinate plane.
true
false

Answer 1

The standard form of an imaginary number is a ± bi where a is the real number and b is the imaginary number. The answer hence is false. i related to an imaginary number is equal to square root of -1. Hence when i is squared, the answer should be -1. Answer is false. Complex numbers can be graphed only in an plane with an imaginary axis and a real axis/ Answer in 3 is false

Answer 2

Answer.
1) False
2) False
3) False

Step-by-step explanation
1) When a number is written as a+bi, a and b are real number. b is never considered as imaginary number.
The statement given is false.


2) The value of i is √(-1), when squared we get;

(√(-1))² = -1.
The answer given is false.

3) It is not possible to graph a complex number is XY coordinates. Complex number are graphed on an imaginary axis and real axis only.
The statement given is false.