If \( (1+i)^{2 n}+(1-i)^{2 n}=-2^{n+1} \) (where, \( i=\sqrt{-1} \) ) for all those \( n \), whi... VIDEO
If \( (1+i)^{2 n}+(1-i)^{2 n}=-2^{n+1} \) (where, \( i=\sqrt{-1} \) ) for all those \( n \), which are
(a) even
(b) odd
(c) multiple of 3
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 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... 2022-10-27 Statement I If eccentricity of a hyperbola is 2 , then eccentricity of its conjugate hyperbola i... 2022-10-27 Find the centre and radius of sphere \( 2(x-5)(x+1)+2(y+5)(y-1)+2(z-2)(z+2)=7 \) 2022-10-27 Let \( \mathbf{a}, \mathbf{b} \) and \( \mathbf{c} \) be three non-coplanar vectors and \( \math... 2022-10-27 Statement I \( \frac{5}{3} \) and \( \frac{5}{4} \) are the eccentricities of two conjugate hype... 2022-10-27 If unit vectors \( a \) and \( b \) are inclined at an angle \( 2 \theta \) such that \( |\mathb... 2022-10-27 Statement I In an ellipse the distance between foci is always less than the sum of focal distanc...