Equality of Two Complex Numbers Video Lecture | Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR

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FAQs on Equality of Two Complex Numbers Video Lecture - Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR

1. What is the concept of equality of two complex numbers?
Ans. The concept of equality of two complex numbers states that two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal. In other words, if two complex numbers have the same real and imaginary parts, they are considered equal.
2. How do you determine if two complex numbers are equal?
Ans. To determine if two complex numbers are equal, you need to compare their real parts and imaginary parts separately. If the real parts of the two complex numbers are equal and their imaginary parts are also equal, then the two complex numbers are considered equal.
3. What is the significance of equality in complex numbers?
Ans. Equality in complex numbers is significant because it allows us to compare and manipulate complex numbers in various mathematical operations. It helps in solving equations involving complex numbers, simplifying expressions, and understanding the properties and behavior of complex numbers.
4. Can two complex numbers with different real parts be equal?
Ans. No, two complex numbers with different real parts cannot be equal. The real part of a complex number represents its position on the real number line, and if two complex numbers have different real parts, they are located at different positions on the number line. Therefore, they cannot be considered equal.
5. Can two complex numbers with different imaginary parts be equal?
Ans. No, two complex numbers with different imaginary parts cannot be equal. The imaginary part of a complex number represents its position on the imaginary number line, and if two complex numbers have different imaginary parts, they are located at different positions on the number line. Hence, they cannot be considered equal.
149 videos|192 docs|197 tests

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