Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# 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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• 0

• 1

• i

#### 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