A) \[-6+\frac{15}{2}i\]
B) \[6+\frac{15}{2}i\]
C) \[6-\frac{15}{2}i\]
D) None of these
Correct Answer: C
Solution :
We know that, when we multiply a complex number by\[i\], it rotates the vector for\[z\]by an angle of\[\frac{\pi }{2}\]in the anticlockwise direction. \[\therefore \]Multiplying by \[{{i}^{2}}\]will rotate the vector for\[z\]by\[\pi \]. \[\therefore \] \[z={{i}^{2}}(-4+5i)=-(-4+5i)\] Stretching\[\frac{3}{2}\]times \[\therefore \] \[z\,\,=\frac{3}{2}(4-5i)\] \[=6-\frac{15}{2}i\]
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