Skip to content
Philoid
Browse Saved
Back to chapter
Maths
5. Complex Numbers and Quadratic Equations
Home · Class 11 · Maths · Ref. Book · 5. Complex Numbers and Quadratic Equations
Prev
Next
Q2 of 202 Page 212

Evaluate (i57 + i70 + i91 + i101 + i104).

we have, i57 + i70 + i91 + i101 + i104

= (i4)14.i + (i4)17.i2 + (i4)22.i3 + (i4)25.i + (i4)26


We know that, i4 = 1


⇒ (1)14.i + (1)17.i2 + (1)22.i3 + (1)25.i + (1)26


= i + i2 + i3 + i +1


= i -1 -i + i +1


= i


More from this chapter

All 202 →
14

1

Evaluate .

3

Evaluate


4

Evaluate (i4n+1 – i4n–1)

Questions · 202
5. Complex Numbers and Quadratic Equations
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 17 18 19 20 21 21 21 21 21 21 22 23 24 25 26 27 28 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 11 12 1 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved