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State true or false for the following: If n is a positive integer, then the value of in + (i)n+1 + (i)n+2 + (i)n+3 is 0. - Mathematics

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प्रश्न

State true or false for the following:

If n is a positive integer, then the value of in + (i)n+1 + (i)n+2 + (i)n+3 is 0.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

Because in + (i)n+1 + (i)n+2 + (i)n+3 

= in(1 + i + i2 + i3)

= in(1 + i – 1 – i)

= in(0)

= 0

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अध्याय 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 17.(vii) | पृष्ठ ८५

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