JEE Main · MathematicsEasy

$Simplify the expression (1 + i) + (2 - 3 i) .$

A. $$3 - 2i$$
B. $$3 + 2i$$
C. $- 1 + 4 i$
D. $$1 - 2i$$

Show correct answer & step-by-step solution

Correct answer: A — $$3 - 2i$$

Solution

To add complex numbers, add the real parts and imaginary parts separately: (1 + 2) + (i - 3 i) = 3 - 2 i .

Attempt this question & track your score

Sign up free to answer, get instant scoring, and let SolveGini track which Mathematics topics you need to revise.

Attempt & Track Free →

More Complex Numbers practice questions

$Find the modulus of the complex number 3 + 4i.$
$What is the conjugate of the complex number 2 - 5i?$
$What is the real part of the complex number 7 - 9i?$
$What is the value of i raised to the power of 402?$
$I f t h eco m pl e x n u mb er sz 1, z 2, an d z 3 r e p r ese n tt h e v er t i ceso f an e q u i l a t er a l t r ian g l e, t h e n z 1^{2} + z 2^{2} + z 3^{2} e q u a l s$
$If z is a complex number such that |z - 3| + |z + 3| = 8, then the maximum value of |z| is$
$If z = x + iy satisfies |z + 1| = |z - 1|, then the locus of z is$
$The amplitude of the complex number (1 + i sqrt(3)) / (sqrt(3) + i) is$
$I f o m e g ai s a co m pl e x c u b er oo t o f u ni t y, t h e n t h e v a l u eo f (1 + o m e g a - o m e g a s q u a r e d)^{7} i s$
$If z is a complex number such that |z - 3 - 2i| = 2, then the maximum value of |2z - 6 + 5i| is$
$T h e n u mb er o f co m pl e x n u mb er sz s u c h t ha t ∣ z ∣ = 1 an d ∣ z^{4} + z^{3} + z^{2} + z + 1∣ = 0 i s$
$I f o m e g ai s a co m pl e x c u b er oo t o f u ni t y, t h e n t h e v a l u eo f t h es u m f r o mk = 1 t o 100 o f (o m e g a^{k} + o m e g a^{(} k + 1)) i s$

View all Complex Numbers questions →