If \( i=\sqrt{-1} \), the number of values of \( i^{n}+i^{-n} \) for different \( n \in I \) is
... VIDEO
If \( i=\sqrt{-1} \), the number of values of \( i^{n}+i^{-n} \) for different \( n \in I \) ishttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2022-10-27 If \( \alpha, \beta \) and \( \gamma \) are the cube roots of \( p(p0) \), then for any \( x, y ... 2022-10-27 The principal value of \( \arg (z) \), where \( z=\left(1+\cos \frac{8 \pi}{5}\right)+i \sin \fr... 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 \( \left|z_{1}-1\right| \leq 1,\left|z_{2}-2\right| \leq 2,\left|z_{3}-3\right| \leq 3 \), th... 2022-10-27 If \( z=(3+4 i)^{6}+(3-4 i)^{6} \), where \( i=\sqrt{-1} \), then \( \operatorname{Im}(z) \) equ... 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 If \( \frac{z-1}{z+1} \) is purely imaginary, then \( |z| \) is equal to
(a) \( \frac{1}{2} \)
(... 2022-10-27 Consider the hyperbola \( H: x^{2}-y^{2}=1 \) and a circle \( S \) with centre \( N\left(x_{2}, ... 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 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 \( i=\sqrt{-1} \), the number of values of \( i^{n}+i^{-n} \) for different \( n \in I \) is
... 2022-10-27 If \( \mathbf{a}, \mathbf{b}, \mathbf{c} \) are three non-zero vectors, then which of the follow... 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 value of \( \sum_{n=0}^{50} i^{(2 n+1) !}( \) where, \( i=\sqrt{-1}) \) is
(a) \( i \)
(b) \... 2022-10-27 Consider the following statements.
\( S_{1}:-6=2 i \times 3 i=\sqrt{(-4)} \times \sqrt{(-9)}( \)... 2022-10-27 Let \( P\left(x_{1}, y_{1}\right) \) and \( Q\left(x_{2}, y_{2}\right), y_{1}0, y_{2}0 \) be the... 2022-10-27 The digit in the unit's place of \( (153)^{98} \) is (a) 1 (b) 3 (c) 7 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 Statement I \( \frac{5}{3} \) and \( \frac{5}{4} \) are the eccentricities of two conjugate hype... 2022-10-27 The line which contains all points \( (x, y, z) \) which are of the form \( (x, y, z)=(2,-2,5)+\... 2022-10-27 Statement I If eccentricity of a hyperbola is 2 , then eccentricity of its conjugate hyperbola i...
0