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Point z with in the complex plane lies on
  • a)
    line y = 4
  • b)
    y - axis
  • c)
    x - axis
  • d)
    circle passing through (4,0) and (-4,0)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Point z within the complex plane lies ona)line y = 4b)y - axisc)x - ax...

I z - 4 I = | z + 4|
If ( z - 4 ) = k |z + 4| k ≠ 1
(x - y)2 + y2 = ± (x+y)2 + y2 then it is circle
but now x = 0
x = 0 hence it is y - axis.
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Most Upvoted Answer
Point z within the complex plane lies ona)line y = 4b)y - axisc)x - ax...

I z - 4 I = | z + 4|
If ( z - 4 ) = k |z + 4| k ≠ 1
(x - y)2 + y2 = ± (x+y)2 + y2 then it is circle
but now x = 0
x = 0 hence it is y - axis.
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Point z within the complex plane lies ona)line y = 4b)y - axisc)x - axisd)circle passing through (4,0) and (-4,0)Correct answer is option 'B'. Can you explain this answer?
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