Q6 Ex-5.2 Complex Number & Quadratic Equations Class11 Chapter 5th Maths CBSE By Poonam Garg
Q6 Ex-5.2 Complex Number & Quadratic Equations Class11 Chapter 5th Maths CBSE By Poonam Garg
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Complex Number and Quadratic Equations Chapter 5th Maths Class 11 | CBSE NCERT Class 11 Maths Complex Number & Quadratic Equations
• Maths Class 11 Chapter 5th Complex Nu...
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Summary
A number of the form a + ib, where a and b are real numbers, is called a complex number, a is called the real part and b is called the imaginary part of the complex number.
Let z1 = a + ib and z2 = c + id. Then
(i) z1 + z2 = (a + c) + i (b + d)
(ii) z1 z2 = (ac – bd) + i (ad + bc)
For any non-zero complex number z = a + ib (a ¹ 0, b ¹ 0), there exists the
complex number 2 2 2 2
called the
multiplicative inverse of z such that (a + ib) 2 2 2 2
Question
EXERCISE 5.2
Find the modulus and the arguments of each of the complex numbers in
Exercises 1 to 2.
1. z = – 1 – i 3 2. z = – 3 + i
Convert each of the complex numbers given in Exercises 3 to 8 in the polar form:
3. 1 – i 4. – 1 + i 5. – 1 – i
6. – 3 7. 3 + i 8. i
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