Total number of complex numbers ' \(z\) ', satisfying Rez2=0, |z|=3, is equal to....
Total number of complex numbers ' \(z\) ', satisfying Rez2=0, |z|=3, is equal to 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 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.... |
| 2024-06-28 | Let \(i=\sqrt{-1}\). Define a sequence of complex number by \(z_1=0, z_{n+1}=z_n{ }^2+i\) for \(.... |
| 2024-06-28 | Consider \(a z^2+b z+c=0\), where \(a, b, c \in R\) and \(4 a c>b^2\). If \(z_1\) and \(z_2\).... |
| 2024-06-28 | If ' \(p\) ' and ' \(q\) ' are distinct prime numbers, then the number of distinct imaginary num.... |
| 2024-06-28 | If \(\arg \left(\frac{z_1-\frac{z}{|z|}}{\frac{z}{|z|}}\right)=\frac{\pi}{2}\) and \(\left|\frac.... |
0