Home
Class 11
MATHS
Represent the given complex numbers in p...

Represent the given complex numbers in polar form :
`sinalpha-icosalpha(alphaacute)`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos
  • COMPLEX NUMBERS

    PATHFINDER|Exercise QUESTION BANK|67 Videos

Similar Questions

Explore conceptually related problems

Express the given complex number in (a+ib) form: (5-2i)^2

Convert of the complex number in the polar form: 1-i

Represent the complex number z=1+isqrt(3) in the polar form.

Convert each of the complex number in the polar form: i

Represent the given complex numbers in polar form : i(1-isqrt3)=i-i^2sqrt3=sqrt3+i

Convert each of the complex number in the polar form: -3

Convert each of the complex number in the polar form: 1-i

Express the following complex number in polar form (r e^itheta) : -3i

Express the following complex number in polar form (r e^itheta) : -3i

Express the following complex number in polar form (r e^itheta) : 9i

PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If z=x-iy and z^(1/3)=p+iq then (x/p+y/q)/(p^2+q^2) is equal to

    Text Solution

    |

  2. Represent the given complex numbers in polar form : i(1-isqrt3)=i-i^...

    Text Solution

    |

  3. Represent the given complex numbers in polar form : sinalpha-icosalp...

    Text Solution

    |

  4. If z1 andz2 be two complex numbers such that abs((z1-2z2)/(2-z1barz2))...

    Text Solution

    |

  5. If in argand plane the vertices A,B,C of an isoceles triangle are rep...

    Text Solution

    |

  6. Find the square root of -7-24i

    Text Solution

    |

  7. If xr = cos(pi/3^r)+isin (pi/3^r) : prove that x1x2x3....upto infinity...

    Text Solution

    |

  8. if alpha, beta, gamma are roots of x^3-3x^2+3x+7=0, then find (alpha-1...

    Text Solution

    |

  9. If alpha1,alpha2....alpha(n-1) are the nth roots of unity then show th...

    Text Solution

    |

  10. Show that the points represented by complex numbers (3+2i),(2-i),-7i a...

    Text Solution

    |

  11. Find the centre and radius of circle 2absz^2+(3-i)z +(3+i)barz-7=0

    Text Solution

    |

  12. Find all the circles which are orthogonal to absz=1 and abs(z-1)=4

    Text Solution

    |

  13. If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...

    Text Solution

    |

  14. If 4x+i(3x-y)=3+i(-6), where x and y are real numbers, then find the v...

    Text Solution

    |

  15. Find the multiplicative inverse of 2-3i.

    Text Solution

    |

  16. Convert the complex number (-16)/(1+isqrt3) into polar form.

    Text Solution

    |

  17. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

    Text Solution

    |

  18. Convert the complex number z=(i-1)/(cos(pi/3)+isin(pi/3)) in the polar...

    Text Solution

    |

  19. {1+(-i)^(4n+3)}(1-i), (ninN) equals

    Text Solution

    |

  20. If z1,z2 are conjugate complex numbers and z3,z4 are also conjugate, t...

    Text Solution

    |