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Modulus and Argument of Complex Numbers Video Lecture | Mathematics (Maths) for JEE Main & Advanced
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FAQs on Modulus and Argument of Complex Numbers Video Lecture - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the modulus of a complex number? |  |
Ans. The modulus of a complex number is the distance between the origin and the point representing the complex number in the complex plane. It is calculated using the formula: modulus = sqrt(real^2 + imaginary^2).
| 2. How do you find the argument of a complex number? | |
Ans. The argument of a complex number is the angle between the positive real axis and the line joining the origin and the point representing the complex number in the complex plane. It is calculated using the formula: argument = atan(imaginary/real).
| 3. How can the modulus and argument be used to represent a complex number? | |
Ans. The modulus and argument together provide a polar representation of a complex number. Using the polar form, a complex number can be expressed as z = modulus * (cos(argument) + i * sin(argument)).
| 4. How are the modulus and argument related to the addition of complex numbers? | |
Ans. When adding two complex numbers, the modulus of the result is equal to the square root of the sum of the squares of the moduli of the two complex numbers. The argument of the result is the sum of the arguments of the two complex numbers.
| 5. How are the modulus and argument related to the multiplication of complex numbers? | |
Ans. When multiplying two complex numbers, the modulus of the result is equal to the product of the moduli of the two complex numbers. The argument of the result is the sum of the arguments of the two complex numbers.
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Dec 22, 2024 Last updated |
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