Download App

4.1 complex nubers — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.1 complex nubers1 Mark
MCQ
${\left( {\frac{{1 + i}}{{1 - i}}} \right)^2} + {\left( {\frac{{1 - i}}{{1 + i}}} \right)^2}$is equal to
  • A
    $2i$
  • B
    $ - 2i$
  • ✓
    $ - 2$
  • D
    $2$
✓

Answer

Correct option: C.
$ - 2$
c
(c) ${\left( {\frac{{1 + i}}{{1 - i}}} \right)^2} + {\left( {\frac{{1 - i}}{{1 + i}}} \right)^2} = \frac{{2i}}{{ - 2i}} + \left( {\frac{{ - 2i}}{{2i}}} \right) = - 2$.

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 "MCQ" from 4.1 complex nubers→4.1 complex nubers — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the circles $x^2 + y^2 + 5Kx + 2y + K = 0$ and $2(x^2 + y^2) + 2Kx + 3y -1 = 0 $, $(K \in R)$, intersect at the points $P$ and $Q$,then the line $4x + 5y -K = 0 $ passes through $P$ and $Q$ for
→
The probability of getting a total of 10 in a single throw of two dices is:
→
The sum of the integers from $1$ to $100$ which are not divisible by $3$ or $5$ is
→
The equation of a line through the intersection of lines $x = 0$ and $y = 0$and through the point $(2, 2)$, is
→
Which octant do the point (-5, 4, 3) lie:
→
Roots of a quadratic equation are real when discriminant is ______________
→
If $\text{f(x)} = \sin^{2}\text{x}$ and the composite function $ \text{g}{\text{f(x)}} = | \sin\text{ x } |$, then the function g(x) is equal to:
→
The number of subsets of a set containing n elements is:
→
If $x^{n-1}$ is divisible by $x-k$, then the least positive integral value of $k$ is:
→
The number of $6$ digit numbers that can be formed using the digits $0, 1, 2, 5, 7$ and $9$ which are divisible by $11$ and no digits is repeated, is
→