Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
Let u, v, w, z be complex number such that |u| 1,|v|=1 and w= v(u-z) u z-1 then
Options
- A|w| 1 |z| 1
- B|w| 1 |z| 1
- C|w| 1 |z| 1
- D|w| 1 |z| 1
Correct answer
B. |w| 1 |z| 1
Step-by-step solution
aligned & |w|= |v||u-z| | u z-1| = |u-z| | u z-1| & Let, |w| 1 & |u-z| | u z-1| & (u-z)( u - z ) (u z -1)( u z-1) & (|u|^2-1 ) (|z|^2-1 ) 1 & |z|^2-1 0 aligned