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Question

The value of (i5 + i6 + i7 + i8 + i9) / (1 + i) is
(a) 12(1+i)
(b) 12(1-i)
(c) 1
(d) 12


Solution

(a) 12(1+i)

i5+i6+i7+i8+i91+i=i-1-i+1+i1+i            As, i5=i, i6=-1, i7=-i, i8=1, i9=i=ii+1=ii+1×i-1i-1=ii-1i2-1=i2-i-2=121+i

Mathematics
RD Sharma XI (2015)
Standard XI

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