1.

Find the value of \(\rm {15-30i}\over{3+4i}\)1. 3 + 6i2. 3 - 6i3. -3 + 6i4. -3 - 6i

Answer» Correct Answer - Option 4 : -3 - 6i

Calculation:

z = \(\rm {15-30i}\over{3+4i}\)

z = \(\rm {15-30i\over3+4i}\times {3-4i\over3-4i}\)

z = \(\rm {45-150i+120i^2\over3^2-(4i)^2}\)

z = \(\rm {-150i-75\over9+16}\)

z = \(\rm {-75(2i+1)\over25}\)

z = -3 - 6i



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