Home
Class 11
MATHS
The polar form of the complex number (i^...

The polar form of the complex number `(i^(25))^3` is

A

`cospi/2+isinpi/2`

B

`cospi+isinpi`

C

`cospi-isinpi`

D

`cospi/2-isinpi/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (7)

    JBD PUBLICATION|Exercise EXERCISE|41 Videos
  • PERMUTATIONS AND COMBINATIONS

    JBD PUBLICATION|Exercise EXAMPLE|59 Videos

Similar Questions

Explore conceptually related problems

Express in the form of complex number (1-i)^4

Express in the complex number (-5i)(i/8)

Find the modulus of the complex number (2 + 3i)/(2 - 3i)

Write the additive inverse of the complex number -2+3i .

Express in the form of complex number i^9+i^(19)

Find the multiplicative inverse of the complex number 7 + 3i

Modulus of complex number 3i-4 is :

Express in the form of complex number z= (5-3i)(2+i)

Convert each of the complex number -16/(1+isqrt3) into polar form. Also find the modulus and arguments.

Express in the form of complex number if z=i^(-39)

JBD PUBLICATION-MODEL PAPER (8)-EXERICSE
  1. If the function f:R rarr A, given by f(x)=(e^(x)-e^(-abs(x)))/(e^(x)+e...

    Text Solution

    |

  2. If the angles of a triangle are in the ratio 3:4:5, then the greatest ...

    Text Solution

    |

  3. The polar form of the complex number (i^(25))^3 is

    Text Solution

    |

  4. ^nP5=20. ^nP3, then n is equal to:

    Text Solution

    |

  5. G.M of 8 and 18 is:

    Text Solution

    |

  6. The value of lambda for which the lines 3x+4y=5, 5x+4y=4 and lambdax+4...

    Text Solution

    |

  7. The equation 16x^2+y^2+8xy-74x-78y+212=0 represents:

    Text Solution

    |

  8. If y=(sinx)/(1+cosx), then value of (dy)/(dx) is:

    Text Solution

    |

  9. In a single toss of three coins, the probability of getting head and t...

    Text Solution

    |

  10. Find the angle between the minute hand and the hour hand of a clock wh...

    Text Solution

    |

  11. Prove that: tan3A. tan2A. tanA=tan3A-tan2A-tanA

    Text Solution

    |

  12. Find the real numbers x and v if (x -iy) (3 + 5i) is the conjugate of ...

    Text Solution

    |

  13. Prove that the coefficient of x^(n) in (1+x)^(2n) is twice the coeffi...

    Text Solution

    |

  14. Write the middle term in the expansion of (2x^2-1/x)^10.

    Text Solution

    |

  15. A point R with x-co-ordinate 4 lies on the line segment joining the po...

    Text Solution

    |

  16. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  17. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  18. Rewrite the following statement if then in five different ways conveyi...

    Text Solution

    |

  19. There are 210 members in a club. 100 of them drink tea and 65 drink te...

    Text Solution

    |

  20. If y=f(x)=(2x+3)/(5x-2), prove that f(y)=x.

    Text Solution

    |