Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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The Value of ( 1 + I ) ( 1 + I 2 ) ( 1 + I 3 ) ( 1 + I 4 ) Is. - Mathematics

MCQ

The value of \[(1 + i)(1 + i^2 )(1 + i^3 )(1 + i^4 )\] is.

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Solution

0
(1+ i) (1 + i2) (1 + i3) (1 + i4)
= (1+ i) (1\[-\]1) (1 \[-\]i) (1 + 1) (\[\because\]i2  =\[-\] 1,  i3 =\[-\] i and i4  = 1)

= (1 + i) (0) (1\[-\]i) (2)= 0

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 13 Complex Numbers
Q 1 | Page 63
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