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let f z u iv be an analytic function where u x3 3x
Question:
Let f(z) = u + iv be an analytic function, where u = x
3
-3xy
2
+3x
2
-3y
2
, then the imaginary part v of f(z) is
CUET (PG) - 2023
CUET (PG)
Updated On:
Nov 22, 2025
3x
2
y + 6xy-y
3
+ c
3x
2
y + 6xy+y
3
+ c
x
2
y + 6xy-y
3
+ c
3x
2
y - 6xy-y
3
+ c
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The Correct Option is
A
Solution and Explanation
The correct answer is(A): 3x
2
y + 6xy-y
3
+ c
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