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Bijective Fuction

32. Least val...

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32. Least value of |z-2| + |z-4i|

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Q. The least value of

| z - 3 - 4 i |^{2} + | z + 2 - 7 i |^{2} + | z - 5 + 2 i |^{2}

z = x + i y

then the value of

x

z

lies on the curve

| z - 3 - 4 i | = 3

, then least value of

| z |

Q. The least value of

| z - 3 - 4 i |^{2} + | z + 2 - 7 i |^{2} + | z - 5 + 2 i |^{2}

z = x + i y

then the real part of

z

| z - 4 i | - | z + 4 i | = 2

then the locus of

z

| z - 3 | < 1

| z - 4 i | > M

then find the positive real value of

M

for which these exist at least one complex number

z

satisfy both the equation.

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