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Standard XI

Mathematics

Properties of Iota

If n is a pos...

Question

If n is a positive integer, then which of the following relations is false

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Solution

The correct option is B

We know that $i^{2} = - 1 \Rightarrow (i^{2})^{2} = (- 1)^{2} = 1 \Rightarrow i^{4 n} = i^{n}$

And therefore $i^{4 n - 1}$ = -i

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If n is a positive integer, then which of the following relations is false

The correct option is B We know that i2=−1⇒(i2)2=(−1)2=1⇒i4n=in And therefore i4n−1 = -i

The correct option is B

We know that $i^{2} = - 1 \Rightarrow (i^{2})^{2} = (- 1)^{2} = 1 \Rightarrow i^{4 n} = i^{n}$

And therefore $i^{4 n - 1}$ = -i