Home
Class 11
MATHS
Find the value of [i^19+(1/i)^25]^2...

Find the value of `[i^19+(1/i)^25]^2`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JBD PUBLICATION|Exercise EXAMPLE|36 Videos

  • BINOMIAL THEOREM

    JBD PUBLICATION|Exercise EXAMPLE|23 Videos

  • CONIC SECTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

Similar Questions

Explore conceptually related problems

Find the value of : -19-(-16)

The value of (i)^19 is:

Find the value of |(1 + i)/(1-i)|

The value of i^9+i^19 is:

Evaluate: [i^18+(1/i)^25]^3 .

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N.

Find the value of m if ((1 + i)/(1 - i))^m = 1

If a=(1+i)/sqrt2," where "i=sqrt(-1), then find the value of a^(1929) .

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Find the value of Im(z) .

Evaluate: [i^20+(1/i)^26]^3 .

JBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-EXAMPLE
  1. Express the complex number given below in the form a + ib:- (-2-1/3i)^...

    Text Solution

    |

  2. If x+iy=(a+ib)/(a-ib), then prove that x^2+y^2=1

    Text Solution

    |

  3. Find the value of [i^19+(1/i)^25]^2

    Text Solution

    |

  4. Express each of the complex number in the form of a+ib. (1/5+i2/5)

    Text Solution

    |

  5. Express each of the complex number in the form of a+ib. (i-4)^2

    Text Solution

    |

  6. If z=-3x+2yi and barz=6+4i, find the values of x and y.

    Text Solution

    |

  7. z1=(3x+2y)+(x+2y)i is additive inverse of z2=5-i, find the values of x...

    Text Solution

    |

  8. Write the following in the form a+ib 1/(3+4i)

    Text Solution

    |

  9. Write the following in the form a+ib (1+i)^2/(3-i)

    Text Solution

    |

  10. Find the multiplicative inverse of each of the following complex numbe...

    Text Solution

    |

  11. Find the multiplicative inverse of each of the following complex numbe...

    Text Solution

    |

  12. Find the multiplicative inverse of: z=cos theta- isintheta.

    Text Solution

    |

  13. Verify that bar((2+3i)(1-2i))=bar((2+3i)) bar( (1-2i))

    Text Solution

    |

  14. Find the modulus of the following complex numbers: (3-4i)/(4-31)

    Text Solution

    |

  15. Find the modulus of the following complex numbers: (2+3i)^2/(1-3i)

    Text Solution

    |

  16. Find the number of non-zero integral solutions of the equation |1- i|^...

    Text Solution

    |

  17. If z=x+iy and |z+a|=3|z-a|, show that 2(x^2+y^2)=5ax-2a^2.

    Text Solution

    |

  18. Solve 2x^2+x+1=0

    Text Solution

    |

  19. Solve the following equation : 2x^2-(3 +7i)x + (9i-3)=0.

    Text Solution

    |

  20. Find the modulus and argument of the complex number (1+2 i)/(1- 3i)

    Text Solution

    |