Home
Class 11
MATHS
i^(9)+i^(10)-3i^(12)=-4...

`i^(9)+i^(10)-3i^(12)=-4`

Text Solution

Verified by Experts

The correct Answer is:
True Statement
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Linear in Equalities (Fill in the Blanks)|20 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Linear in Equalities (True/False Statement)|14 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Complex numbers and Quadratic Equations (Fill in the Blanks)|40 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

Prove that i^(107)+i^(112)+i^(117)+i^(122)=0

For some integer k, i^(4k)+i^(4k+1)+i^(4k+2)+i^(4k+3) = ..........

Find the value of the following : (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(574))

Conver the following in the polar form: (i) (1+7i)/(2-i)^(2) , (ii) (1+3i)/(1-2i)

Solve the following :- (i) 2+4-9 (ii) 3+6-10 (iii) 12-5-3 (iv) 100-50+40 (v) 5^(3)-3^(4)-2^(2) (vi) 6^(4)+2^(2)-8^(3)

Sum of four consecutive powers of i(iota) is zero. i.e., i^(n)+i^(n+1)+i^(n+2)+i^(n+3)=0,forall n in I. If sum_(n=1)^(25)i^(n!)=a+ib, " where " i=sqrt(-1) , then a-b, is

Sum of four consecutive powers of i(iota) is zero. i.e., i^(n)+i^(n+1)+i^(n+2)+i^(n+3)=0,forall n in I. If sum_(r=4)^(100)i^(r!)+prod_(r=1)^(101)i^(r)=a+ib, " where " i=sqrt(-1) , then a+75b, is

Find the value of i^(2017)+i^(2018)+i^(2019)+i^(2020) .

If z=(sqrt(3)-i)/2 , where i=sqrt(-1) , then (i^(101)+z^(101))^(103) equals to

Fill in the blanks of the following The sum of the series i+i^(2)+i^(3)+i^(4)+.... upto 1000 terms is ....