Download App

Complex Numbers and Quadratic Equations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSComplex Numbers and Quadratic Equations1 Mark
Question
Find $\Big|(1+\text{i})\frac{(2+\text{i})}{(3+\text{i})}\Big|$
✓

Answer

$\Big|(1+\text{i})\frac{(2+\text{i})}{(3+\text{i})}\Big|=|1+\text{i}|\frac{|2+\text{i}|}{|3+\text{i}|}$
$=\sqrt{1^2+1^2}\frac{\sqrt{2^2+1^2}}{\sqrt{3^2+1^2}}$
$=\sqrt{2}\frac{\sqrt{5}}{\sqrt{10}}=1$

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 "1 Marks Question" from Complex Numbers and Quadratic Equations→Complex Numbers and Quadratic Equations — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Consider the sets $\phi$, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9}. Insert the symbol $⊂ or ⊄$ between the pair of set: $\phi$ . . . B
→
Find the derivative of $2x - \frac{3}{4}$
→
If $\tan\text{A}=\frac{1-\cos\text{B}}{\sin\text{B}},$ then find value of $\tan2\text{A}.$
→
Write the number of points of intersection of the curves $2\text{y}=-1$ and $\text{y = cosec x}.$
→
If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find: $A \cap C$ 
→
If X = {a, b, c, d} and Y = {f, b, d, g} find: X - Y
→
Find the intersection pair of the set : X = {1, 3, 5} Y = {1, 2, 3}
→
Given the set A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Is {1, 2, 3, 4, 5, 6, 7, 8} be considered as universal set for all the three sets A, B and C?
→

Find the ratio of the coefficients of xp and xq in the expansion of $(1+\text{x})^{\text{p}+\text{q}}.$

→
How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if all letters are used at a time.
→