NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 12 (Ex 5.1)

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Question 12:

Find the multiplicative inverse of the complex number √5 + 3i

Answer

Let z = √5 + 3i

Then, 12 and |z|2 = (√5)2 + 32 = 5 + 9 = 14

Therefore, the multiplicative inverse of  √5 + 3i is given  by

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