Complex Number :If z is complex number such that (𝒛 −𝒊)/(𝒛 −𝟏) is purely imaginary [JEE Main Aug21]

If \(z\) is a complex number such that \(\frac{z-i}{z-1}\) is purely imaginary, then the minimum....

If \( z(z-1) \) is a complex number such that \( \frac{z-1}{z+1} \) is purely imaginary, then \(...

(i)If z is a complex no. such that `|z|=1`; prove that `(z-1)/(z+1)` is purely imaginary

If `z` is a complex number such that `|z|=1,` prove that `(z-1)/(z+1)` is purely imaginary, what...

If z\nis a complex number such that |z|=1,\nprove that (z-1)/(z+1)\nis purely imaginary, what wi...

If z-1/z+1 is a purely imaginary number (z ≠-1), then find the value of |z|. Purely imaginary DV ...

If z-1/z+1 is a purely imaginary number (where, z not =-1) then the value of |z| is jee mains test

If z = x + iy and w = (1 - iz)(z - i) and |w | = 1 , then prove that z is purely real. 11th Maths

Let `z!=i` be any complex number such that `(z-i)/(z+i)` is a purely imaginary number. Then `z+...

If `(z+1)/(z+i)` is a purely imaginary number (where`(i=sqrt(-1)`), then z lies on a

If `z_1`, and `z_2` are complex numbers, such that , `(3z_1)/(2z_2)` is purely imaginary, then...

z=x+iy,(z+1)/(z+I) is purely imaginary, then find locus of z

lf `z(!=-1)` is a complex number such that `[z-1]/[z+1]` is purely imaginary, then `|z|` is equal to

If 2z1/3z2 is a purely imaginary number, then find the value of | ( z1 - z2 )/( z1 + z2 ) 11th Maths

Find derivatives of w=(z+1)(z-1)(z^{2}+1) | Plainmath

If `(z-1)/(z+1)` is a purely imaginary number `(z ne - 1)`, then find the value of `|z|`.||

Find the number of complex numbers z such that |z-1| = |z+1| = |z-i|.

If `z_1, z_2` are complex number such that `(2z_1)/(3z_2)` is purely imaginary number, then find...

If z is any complex number such that z+1/z=1, then the value of z^99+1/z^99 is[ (A) 1; (C) 2 ...