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Question

The value of the expression −5+10i3+4i

A
12i
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B
1+2i
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C
2i
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D
2+i
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Solution

The correct option is B 1+2i
Let z=5+10i3+4i=(5+10i)(34i)(3+4i)(34i)
(After Rationaliztion)
=15+20i+30i+409+16
=25+50i25=1+2i

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