If z1 = a + bi and z2 = c + di, and z1 = z2, which must be true?

Boost your skills in A Level Further Mathematics Core Pure. Study with flashcards and multiple choice questions, each question is followed by hints and explanations. Get prepared for your exam with confidence!

Multiple Choice

If z1 = a + bi and z2 = c + di, and z1 = z2, which must be true?

The real and imaginary parts must match when two complex numbers are equal. If a + bi equals c + di, then comparing real parts gives a = c and comparing imaginary parts gives b = d. Therefore, both conditions must hold. If either part differed, the two numbers would not be the same.

The real and imaginary parts must match when two complex numbers are equal. If a + bi equals c + di, then comparing real parts gives a = c and comparing imaginary parts gives b = d. Therefore, both conditions must hold. If either part differed, the two numbers would not be the same.

More practice questions