Let `S=S_1 cap S_2 cap S_3` where `S_1={z in C:|z| lt 4"}",S_2={z in C: lm[(z-1+sqrt(3)i)/(1-sqrt(3)i)]gt0}` and `S_3:{z in : Re z lt 0 }` Let z be any point in `A cap B cap C` The `|z+1-i|^2+|z-5-i|^2` lies betweenA. 25 and 29B. 30 and 34C. 35 and 39D. 40 and 44

Let `S=S_1 cap S_2 cap S_3` where `S_1={z in C:|z| lt 4"}",S_2={z in C

1.	Let `S=S_1 cap S_2 cap S_3` where `S_1={z in C:\|z\| lt 4"}",S_2={z in C: lm[(z-1+sqrt(3)i)/(1-sqrt(3)i)]gt0}` and `S_3:{z in : Re z lt 0 }` Let z be any point in `A cap B cap C` The `\|z+1-i\|^2+\|z-5-i\|^2` lies betweenA. 25 and 29B. 30 and 34C. 35 and 39D. 40 and 44
Answer» Correct Answer - C `\|z+1-i\|^2+\|z-5-i\|^2` = `(x+1)^2 +(y-1)^2+(x-5)^2+(y-1)^2` `=2(x^2+y^2-4x-2y)+28` `=2(4)+28=36 " "[ because x^2+y^2-4x-2y =4]`

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Let `S=S_1 cap S_2 cap S_3` where `S_1={z in C:|z| lt 4"}",S_2={z in C: lm[(z-1+sqrt(3)i)/(1-sqrt(3)i)]gt0}` and `S_3:{z in : Re z lt 0 }` Let z be any point in `A cap B cap C` The `|z+1-i|^2+|z-5-i|^2` lies betweenA. 25 and 29B. 30 and 34C. 35 and 39D. 40 and 44

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