Let \(S\) be the set of all complex numbers \(z\) satisfying \(\left|z^2+z+1\right|=1\). Then wh.... VIDEO
Let \(S\) be the set of all complex numbers \(z\) satisfying \(\left|z^2+z+1\right|=1\). Then which of the following statements is/are True? π²PW App Link - https://bit.ly/YTAI_PWAP πPW Website - https://www.pw.live
Other Videos By PW Solutions 2024-06-28 Let z=1-i32,i=-1. Then the value of 21+z+1z3+z2+1z23+z3+1z33+….+z21+1z213 is.... 2024-06-28 If \(a_r=\cos \frac{2 r \pi}{9}+i \sin \frac{2 r \pi}{9}, r=1,2,3, \ldots ., i=\sqrt{-1}\), then.... 2024-06-28 The sum of 162th power of the roots of the equation x3-2x2+2x-1=0 is .... 2024-06-28 Let \(p, q \in R\) and \((1-\sqrt{3} i)^{200}=2^{199}(p+i q), i=\sqrt{-1}\) Then \(p+q+q^2\) and.... 2024-06-28 If \(z\) and \(w\) are two complex numbers such that \(|z w|=1\) and \(\arg (z)-\arg (w)=\frac{\.... 2024-06-28 If \(\frac{3+i \sin \theta}{4-i \cos \theta}, \theta \in[0,2 \pi]\) is a real number, then an ar.... 2024-06-28 Given that \(n(U)=40, n(A)=28, n(B)=25, n(\mathrm{~A} \cap \mathrm{B})=x\) and \(n\left(A^{\prim.... 2024-06-28 Let \(z_1\) and \(z_2\) be two complex numbers such that \(\arg \left(z_1-z_2\right)=\frac{\pi}{.... 2024-06-28 Let \(z_1\) and \(z_2\) be any two non-zero complex numbers such that \(3\left|z_1\right|=4\left.... 2024-06-28 For a complex number \(z\), let \(\operatorname{Re}(z)\) denote the real part of \(z\). Let \(S\.... 2024-06-28 Let \(S\) be the set of all complex numbers \(z\) satisfying \(\left|z^2+z+1\right|=1\). Then wh.... 2024-06-28 If 1+i1-im/2=1+i1-in/3=1(m,n∈N) then the greatest common divisor of the least values o.... 2024-06-28 Let \(z\) be a complex number such that \(\left|\frac{z-i}{z+2 i}\right|=1\) and \(|z|=\frac{5}{.... 2024-06-28 z1,z2∈C and z12+z22∈R,z1z12-3z22=2,z23z12-z22=11
If z12+z22=λ th.... 2024-06-28 Total number of complex numbers ' \(z\) ', satisfying Rez2=0, |z|=3, is equal to.... 2024-06-28 If \(z_1=a_1+i b_1\) and \(z_2=a_2+i b_2\) are complex numbers such that \(\left|z_1\right|=1,\l.... 2024-06-28 Match the items in Column-I with those in Column-II
Choose the correct answer from the options .... 2024-06-28 The value of \(i^n+i^{-n}\), for \(i=\sqrt{-1}\) and \(n \in I\) is: .... 2024-06-28 If \(2 \cos \theta=x+\frac{1}{x}\) and \(2 \cos \varphi=y+\frac{1}{y}\), then .... 2024-06-28 Let \(a, b, c\) be distinct complex numbers such that \(\frac{a}{1-b}=\frac{b}{1-c}=\frac{c}{1-a.... 2024-06-28 \(a, b, c\) are real numbers in the polynomial, \(P(z)=2 z^4+a z^3+\) \(b z^2+c z+3\). If two ro....
0