NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 11 (Ex 5.1)

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Question 11:

Find the multiplicative inverse of the complex number 4 – 3i

Answer

Let z = 4 – 3i

Then, z bar = 4 + 3i and |z|2 = 42 + (−3)2 = 16 + 9 = 25

Therefore, the multiplicative inverse of 4 – 3i is given by

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