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
| w |= | v || u - z | | u z -1| = | u - z | | u z -1| Let. | w | 1 aligned & | 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