Class 11 Mathematics 4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers

Medium

$\sum_{n=1}^{4} (\sqrt{-1})^{2n} = $

KCET 2026 All KCET

A
$2$
B
$-i$
C
$0$
D
$i$

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Class 11

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Chapter

4-1.Complex numbers

Subtopic

Integral power of iota, Algebraic operations and Equality of complex numbers

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કિંમત શોધો: $\left[i^{18}+\left(\frac{1}{i}\right)^{25}\right]^{3}$.

Medium

$\frac{(1+i)^{2011}}{(1-i)^{2009}}$ ની કિંમત શોધો.

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$x$ અને $y$ ની વાસ્તવિક કિંમતો શોધો જેના માટે સમીકરણ $({x^4} + 2xi) - (3{x^2} + yi) = (3 - 5i) + (1 + 2yi)$ સંતોષાય છે.

Medium

$\frac{(1 + i)^2}{2 - i}$ નો કાલ્પનિક ભાગ (imaginary part) શોધો.

Easy

સૌથી નાનો ધન પૂર્ણાંક $n$,જેના માટે $\frac{(1+i)^{n}}{(1-i)^{n-2}}$ ધન હોય,તે છે

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