Home
Class 11
MATHS
For what value of x and y 4x+i(3x-y)=3...

For what value of x and y
`4x+i(3x-y)=3-6i`

Text Solution

Verified by Experts

We have .4 x+i(3 x-y)=3+i(-6) …...... .(1).
Equating the real and imaginary part of .(1)., we get .4 (x)=3,3 (x)-(y)=-6.
which on solving simultaneously, give .(x)=3 / 4. and .(y)=33 / 4..
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEORM

    V PUBLICATION|Exercise QUESTIONBANK|74 Videos
  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos

Similar Questions

Explore conceptually related problems

For what values of x and y are the following matrices equal ? A=[(2x+1,3y),(0,y^(2)-5y)], B=[(x+3,y^(2)+2),(0,-6)]

For what values of p and q, the system of equations 2x + py + 6z = 8, x + 2y + qz = 5, x + y + 3z = 4 has no solution

For what values of p and q, the system of equations 2x + py + 6z= 8, x + 2y + qz = 5, x + y + 3z = 4 has a unique solution

For what values of p and q, the system of equations 2x + py + 6z= 8, x + 2y + qz = 5, x + y + 3z = 4 has infinitely many solutions.

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 - 24i

If |(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z)| = 64, then the real value of x is a)2 b)1 c)4 d)6

find the value of x and y from the equations a[[x,5],[7,y-3]]+[[3,-4],[1,2]]=[[7,6],[15,14]]

Which of the given values of x and y make the following pair of matrices equal [[3x+7, 5],[y+1, 2-3x]], [[0, y-2],[8, 4]]

Find the value of x,y and z from the equation: [[4,3],[x,5]]=[[y,z],[1,5]]

V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. For what value of x and y 4x+i(3x-y)=3-6i

    Text Solution

    |

  2. Express the following in the form of a+ib: (i) (-5 i)((1)/(8)) (ii)...

    Text Solution

    |

  3. Express (-sqrt(3)+sqrt(-2))(2 sqrt(3)-i) in the form of a+i b

    Text Solution

    |

  4. Express (-sqrt(3)+sqrt(-2))(2 sqrt(3)-i) in the form of a+i b

    Text Solution

    |

  5. Find the multiplicative inverse of the following, 2-3i

    Text Solution

    |

  6. Express the following in the form a+ib (i) (5+sqrt(2)i)/(1-sqrt(2)i...

    Text Solution

    |

  7. Express the following complex numbers in a+ib form. (a) (5i)(-(3)/5i)

    Text Solution

    |

  8. Express the following complex numbers in a+ib form. (b) i^9+i^(19)

    Text Solution

    |

  9. Express the following complex numbers in a+ib form. (c ) i^(-39)

    Text Solution

    |

  10. Express the following in a+ib form 3(7+7i)+i(7+7i)

    Text Solution

    |

  11. Express the following in a+ib form (1-i)-(-1+6i)

    Text Solution

    |

  12. Express the following in a+ib form (1/5+i2/5)-(4+5/2i)

    Text Solution

    |

  13. Express the following in a+ib form. [(1/3+i7/3)+(4+i1/3)]-[-4/3+i]

    Text Solution

    |

  14. Express the following in a+ib form. (1-i)^4

    Text Solution

    |

  15. Express the following in a+ib form (1/3+3i)^3

    Text Solution

    |

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

    Text Solution

    |

  17. Find the multiplicative inverse of the following complex number 4-3i

    Text Solution

    |

  18. Express each of the complex number given in the questionsqrt(5)+3i

    Text Solution

    |

  19. Express each of the complex number given in the question -(i)

    Text Solution

    |

  20. Express the following expression in form of a+ib: ((3+i sqrt(5))(3-i s...

    Text Solution

    |