| 2023-02-25 | Prove that \( 1+i^{10}+i^{20}+i^{30} \) is a real number.
P
W |
| 2023-02-25 | Prove that \( i^{n}+i^{n+1}+i^{n+2}+i^{n+3}=0 \), for all \( n \in ... |
| 2023-02-25 | Evaluate the following
\[
\sqrt{-16}+3 \sqrt{-25}+\sqrt{-36}-\sqrt{... |
| 2023-02-25 | Let \( A=\{1,2,3\}, B=\{-1,0,1,2,3\}, C=\{1\} \),
\[
D=\{-1,1\} \te... |
| 2023-02-25 | prove
\( n^{2}2^{n} \) for all natural numbers \( n \geq 5 \).
W |
| 2023-02-25 | Image of the circle \( x^{2}+y^{2}-6 x+8=0 \) in the line \( y=x \)... |
| 2023-02-25 | Evaluate the following
\[
(\sqrt{-2})^{6}
\] |
| 2023-02-25 | Evaluate the following
\[
\sqrt{-25} \times \sqrt{-49}
\]
W |
| 2023-02-25 | Evaluate the following
\[
\frac{2}{3} \times \sqrt{\frac{-9}{16}}
\]
W |
| 2023-02-25 | If \( \mathrm{A}=\{1,2,3\}, \mathrm{B}=\{4\}, \mathrm{C}=\{5\} \), ... |
| 2023-02-25 | Evaluate the following:
\[
\sqrt{-81}
\]
W |
| 2023-02-25 | If \( f \) and \( g \) are functions defined by :
\( f(x)=\sqrt{x-1... |
| 2023-02-25 | Let \( A=\{1,2,3\}, B=\{2,3,4\} \) and \( C=\{4,5\} \). Verify that... |
| 2023-02-25 | If \( f \) and \( g \) are functions defined by :
\( f(x)=\sqrt{x-1... |
| 2023-02-25 | Let \( \mathrm{A} \) and \( \mathrm{B} \) be two subsets such that ... |
| 2023-02-25 | If \( f \) and \( g \) are functions defined by :
\( f(x)=\sqrt{x-1... |
| 2023-02-25 | If \( f \) and \( g \) are functions defined by :
\( f(x)=\sqrt{x-1... |
| 2023-02-25 | If \( \mathrm{A}=\{a, b, c\}, \mathrm{B}=\{c, d\} \) and \( \mathrm... |
| 2023-02-25 | Locus of the poles of the circle \( x^{2}+y^{2}=a^{2} \) so that po... |
| 2023-02-25 | Given that \( \mathrm{N}=\{1,2,3, \ldots, 100\} \). Then write :
th... |
| 2023-02-25 | Fill in the blanks :
\[
(\mathrm{A} \cup \mathrm{B})^{\mathrm{C}}=
... |
1