Same chapter3 marksDifficulty: Medium
Find the value of i2025.
Complex Numbers
3 marksDifficulty: Medium
Evaluate (2 + 3i)(2 − 3i) and state what the result illustrates.
Original Khojo Papers practice question — not from a past board paper.
Answer
13. It illustrates that the product of a complex number and its conjugate is the square of its modulus, which is always real.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
(2 + 3i)(2 − 3i) = 4 − 9i2 = 4 + 9 = 13, and |2 + 3i|2 = 4 + 9 = 13.
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