Simplify the following and express in the form a + ib: (2 + 3i) (… - Vidyadip

Question

Simplify the following and express in the form $a + ib:$
$(2 + 3i) (1 – 4i)$

✓

Answer

$(2+3 i)(1-4 i)$
$=2-8 i+3 i-12 i^2$
$=2-5 i-12(-1) \ldots . .\left[\because i^2=-1\right]$
$=14-5 i$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Complex Numbers→Complex Numbers — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $f(m)=m^2-3 m+1$, find
$f(-3)$

$\frac{6 !-4 !}{4 !}$

R : {1, 2, 3} → {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)}. Check if R is
transitive

Describe the following sets in Roster form: $B=\left\{x / x\right.$ is an integer, $-\frac{3}{2}\left\langle x<\frac{9}{2}\right\rangle$

Determine which of the following pairs of angles are co-terminal : -405°, 675°

If $f(m)=m^2-3 m+1$, find
$\left(\frac{\mathbf{f}(2+h)-f(2)}{h}\right), \mathrm{h} \neq 0$.

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be:

0
p - q
p + q
-(p + q)

If the centroid of a triangle formed by the points $(0,0),(\cos \theta, \sin \theta)$ and $\sin \theta,-\cos \theta$ lies on the line $y=2 x$, then write the value of $\tan \theta$.

Determine the distance between the following pair of parallel lines:
$4x + 3y - 11 = 0$ and $8x + 6y = 15$

Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.