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How many solutions system of equations, `arg (z + 3 -2i) = - pi//4 and |z + 4 | - |z - 3i| = 5 ` has ?

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The correct Answer is:
No solution
Equation `arg (z-(-2 + 3i)) = - pi//4` represents the ray emanating form (-2+ 3i) and making an angle of `-pi//4` with horizonatal.
Equations `|z + 4|-|z-3i| = 5 ` or `|z-4 (-4)|-|z-3i| = |3i+4|` represents the ray emanating from '3i' and moving to the right of '3i'.

Clearly, the two rays do not intersect, So, system of equations has no solution.
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