12th Maths Guide Chapter 2 Complex Numbers Exercise 2.4 PDF Solution

Question no 1: Write the following in the rectangular form.

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Solution:-

Question no 2: If z = x + iy, find the following in rectangular form.

Question no 3: If z₁ = 2 – i and z₂ = -4 + 3i, find the inverse of z₁, z₂ and z1/z2

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Question no 4:

Question no 5: Prove the following properties.

(i) z is real if and only if z = z¯

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Question no 6: Find the least value of the positive integer n for which (√3 + i)ⁿ (i) real (ii) pure imaginary.

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Question no 7: Show that.

(i) (2 + i√3)¹⁰ – (2 – i√3)¹⁰ is purely imaginary.

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