i6 + i7 + i8 का मान क्या है, जहाँ है?

  1. 1
  2. 0
  3. i
  4. -i

Answer (Detailed Solution Below)

Option 4 : -i
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संकल्पना:

i की घांत:

  • i = 
  • i2 = -1
  • i3 = -i × i2 = -i
  • i4 = (i2)2 = (-1)2 = 1
  • i4n = 1

 

गणना:

ज्ञात करना है: i+ i7 + i8 का मान 

चूँकि हम जानते हैं, i2 = -1

इसलिए, i6 = i4 × i2 = 1 × -1 = -1

i7 = i4 × i3 = 1 × -i = -i

i8 = (i4)2 = (1)2 = 1

अब,

i+ i7 + i8 = -1 - i + 1 = -i

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