If \( z=(3+4 i)^{6}+(3-4 i)^{6} \), where \( i=\sqrt{-1} \), then \( \operatorname{Im}(z) \) equ...
If \( z=(3+4 i)^{6}+(3-4 i)^{6} \), where \( i=\sqrt{-1} \), then \( \operatorname{Im}(z) \) equals to
\( (a)-6 \)
(b) 0
(c) 6
(d) None of these
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions
2022-10-27 | The complex numbers \( \sin x+i \cos 2 x \) and \( \cos x-i \sin 2 x \), where \( i=\sqrt{-1} \)... |
2022-10-27 | If \( \frac{1-i x}{1+i x}=a-i b \) and \( a^{2}+b^{2}=1 \), where \( a, b \in R \) and \( i=\sqr... |
2022-10-27 | If \( z_{1}, z_{2} \) and \( z_{3}, z_{4} \) are two pairs of conjugate complex numbers, then \(... |
2022-10-27 | If \( \frac{3}{2+\cos \theta+i \sin \theta}=a+i b \), where \( i=\sqrt{-1} \) and \( a^{2}+b^{2}... |
2022-10-27 | The value of \( \sum_{n=0}^{50} i^{(2 n+1) !}( \) where, \( i=\sqrt{-1}) \) is
(a) \( i \)
(b) \... |
2022-10-27 | If \( \left|z_{1}-1\right| \leq 1,\left|z_{2}-2\right| \leq 2,\left|z_{3}-3\right| \leq 3 \), th... |
2022-10-27 | If \( \frac{z-1}{z+1} \) is purely imaginary, then \( |z| \) is equal to
(a) \( \frac{1}{2} \)
(... |
2022-10-27 | A line \( l \) passing through the origin is perpendicular to the lines
\( l_{1}:(3+t) \overline... |
2022-10-27 | The value of \( \sum_{r=-3}^{1003} i^{r}( \) where \( i=\sqrt{-1}) \) is
(a) 1
(b) \( -1 \)
(c) ... |
2022-10-27 | The least positive integer \( n \) for which \( \left(\frac{1+i}{1-i}\right)^{n}=\frac{2}{\pi}\l... |
2022-10-27 | If \( z=(3+4 i)^{6}+(3-4 i)^{6} \), where \( i=\sqrt{-1} \), then \( \operatorname{Im}(z) \) equ... |
2022-10-27 | The digit in the unit's place of \( (153)^{98} \) is (a) 1 (b) 3 (c) 7 |
2022-10-27 | If \( (x+i y)^{1 / 3}=a+i b \), where \( i=\sqrt{-1} \), then \( \left(\frac{x}{a}+\frac{y}{b}\r... |
2022-10-27 | If \( i=\sqrt{-1} \), the number of values of \( i^{n}+i^{-n} \) for different \( n \in I \) is
... |
2022-10-27 | Consider the following statements.
\( S_{1}:-6=2 i \times 3 i=\sqrt{(-4)} \times \sqrt{(-9)}( \)... |
2022-10-27 | If \( \mathbf{a}, \mathbf{b}, \mathbf{c} \) are three non-zero vectors, then which of the follow... |
2022-10-27 | If \( (1+i)^{2 n}+(1-i)^{2 n}=-2^{n+1} \) (where, \( i=\sqrt{-1} \) ) for all those \( n \), whi... |
2022-10-27 | If \( a, b, c \) are three non-zero vectors, then which of the following statement(s) is/are tru... |
2022-10-27 | Statement I The point \( (5,-3) \) inside the hyperbola \( 3 y^{2}-5 x^{2}+1=0 \)
Statement II ... |
2022-10-27 | The equation \( \frac{x^{2}}{10-a}+\frac{y^{2}}{4-a}=1 \), represents an ellipse, if
(a) \( a4 \... |
2022-10-27 | Statement I Circles \( x^{2}+y^{2}=4 \) and \( x^{2}+y^{2}-6 x+5=0 \) intersect each other at tw... |