Same chapter3 marksDifficulty: Medium
Find the value of i2025.
Complex Numbers
Original Khojo Papers practice question — not from a past board paper.
±(2 + 3i)
No citable source has been recorded for this record. Treat it as practice material, not as fact.
If (a + ib)2 = −5 + 12i then a2 − b2 = −5 and 2ab = 12. Solving gives a = 2 and b = 3, so the roots are ±(2 + 3i).
From the same topic and chapter, at a similar level.
Find the value of i2025.
Complex Numbers
Express the complex number 1 + i in polar form.
Complex Numbers
Express (1 + i)/(1 − i) in the form a + ib.
Complex Numbers
Evaluate (2 + 3i)(2 − 3i) and state what the result illustrates.
Complex Numbers
Find the modulus and argument of the complex number 3 + 4i.
Complex Numbers
Simplify (1 + i)2 and find its modulus.
Complex Numbers