Home
Class 11
MATHS
If (x+iy)^3 = u + iv, then show that u/x...

If `(x+iy)^3 = u + iv`, then show that `u/x+v/y=4(x^2-y^2)`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |106 Videos

  • CONIC SECTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|90 Videos

Similar Questions

Explore conceptually related problems

If y=e^(acos^-1x) , then show that (1-x^2)y_2-xy_1-a^2y=0

If log(x^2+y^2)=2tan^(-1)(y/x) , then, show that dy/dx=(x+y)/(x-y)

If (costheta-isintheta)^2 = x -iy , show that x^2+y^2 = 1

If (x + iy)^(1//3) = 2+3i , then 3x + 2y is equal to

If x^3+y^3=3axy Show that dy/dx=(ay-x^2)/(y^2-ax) .

If y=(tan^(-1)x)^2 , show that (x^2+1)^2y_2+2x(x^2+1)y_1=2 .

If x=sint and y=sinmt show that (1-x^2)y_2-xy_1+m^2y=0

If y=ae^(5x)+be^(-5x) , show that (d^2y)/(dx^2)-25y=0

A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Reduce (1/(1-4i) - 2/(1+i)) ((3-4i)/(5+i)) to the standard form

    Text Solution

    |

  2. If x-iy=sqrt((a-ib)/(c-id), prove that (x^2+y^2)^2 = (a^2+b^2)/(c^2+d^...

    Text Solution

    |

  3. Convert the following in to the polar form (1+7i)/(2-i)^2

    Text Solution

    |

  4. Consider the complex number z=(1+3i)/(1-2i).Write z in polar form.

    Text Solution

    |

  5. Solve the following equations 3x^2-4x+20/3=0

    Text Solution

    |

  6. Solve the following equations x^2-2x+3/2=0

    Text Solution

    |

  7. Solve the following equations 27x^2-10x+1=0

    Text Solution

    |

  8. Solve the equation 21x^2-28x+10=0

    Text Solution

    |

  9. If z1=2-i,z2=1+i Hence find abs[(z1+z2+1)/(z1-z2+i)]

    Text Solution

    |

  10. If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2

    Text Solution

    |

  11. Let z1=2-i, z2=-2+i. Find Re((z1z2)/overlinez1)

    Text Solution

    |

  12. Let z1=2-i, z2=-2+i. Find Im (1/(z1overlinez1))

    Text Solution

    |

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

    Text Solution

    |

  14. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 ...

    Text Solution

    |

  15. Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)

    Text Solution

    |

  16. If (x+iy)^3 = u + iv, then show that u/x+v/y=4(x^2-y^2)

    Text Solution

    |

  17. If alpha and beta are different complex numbers with absbeta = 1, then...

    Text Solution

    |

  18. Find the number of non zero integral solutions of the equation abs(1-i...

    Text Solution

    |

  19. If (a+ib) (c+id) (e+if) (g+ih) = A+iB, then show that (a^2+b^2) (c^2+d...

    Text Solution

    |

  20. If ((1+i)/(1-i))^m = 1 then find the least integral value of m

    Text Solution

    |