Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Obtain the modulus of the complex number (3 - 5i)(2 + i).
Options
A 17
B √149
C 11
D √170
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

First compute product: (3-5i)(2+i) = 6+3i-10i-5i² = 6-7i+5 = 11-7i. Modulus = √(11²+(-7)²) = √(121+49) = √170.

Hint

|z1·z2| = |z1|·|z2|. Alternatively, compute product first then modulus.

Question Info