Home
Class 11
MATHS
Find the real values of x\ a n d\ y ,\ i...

Find the real values of `x\ a n d\ y ,\ if:((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i

Find the real values of x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i

Find the real values of x\ a n d\ y ,\ if:(3x-2iy)(2+i)^2=10(1+i)

Find the real values of xa n dy , if (3x-7)+2i y=-5y+(5+x)i

Find the real values of x and y for which (1+i)y^2+(6+i)=(2+i)x

Determine real values of x and y (x-yi)= (2+i)/(1+i)

Find the real values of x and y satisfying the equality (x-2 + (y-3)i)/(1+i)= 1-3t

Find the value of x and y given that (x + yi) (2-3i)=4+i

The real values of xa n dy for which the following equation is satisfied: ((1+i)(x-2i))/(3+i)+((2-3i)(y+i))/(3-i)=i x=3,y=1 b. x=3, y=-1 c. x=-3,y=1 d. x=-3,y=-1

Find the values of x and y : (i) x+3i=6-9iy (ii) (x+iy)-(3-2i)=5+i (iii) i=x+2yi (iv) 4x+i(x-y)=2-5i (v) (x+2iy)(2-i)^(2)=10(1-i)

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Express the following complex numbers in the standard form a+i b :(5+s...

    Text Solution

    |

  2. Find the real values of x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i

    Text Solution

    |

  3. Find the real values of x\ a n d\ y ,\ if:((1+i)x-2i)/(3+i)+((2-3i)y+i...

    Text Solution

    |

  4. Find the real values of x\ a n d\ y ,\ if:(3x-2iy)(2+i)^2=10(1+i)

    Text Solution

    |

  5. Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i

    Text Solution

    |

  6. Find the conjugates of the following complex number: 4-5i

    Text Solution

    |

  7. Find the conjugates of the following complex number: 1/(3+5i)

    Text Solution

    |

  8. Find the conjugates of the following complex number: 1/(1+i)

    Text Solution

    |

  9. Find the conjugates of the following complex number: ((1+i)(2+i))/(3+i...

    Text Solution

    |

  10. Find the conjugates of the following complex number: ((3-i)^2)/(2+i)

    Text Solution

    |

  11. Find the conjugates of the following complex number: ((3-2i)(2+3i))/((...

    Text Solution

    |

  12. Find the multiplicative of the following complex number: 1-i

    Text Solution

    |

  13. Find the multiplicative of the following complex number: \ 4-3i

    Text Solution

    |

  14. Find the multiplicative of the following complex number: (1+isqrt(3))^...

    Text Solution

    |

  15. Find the multiplicative of the following complex number: sqrt(5)+3i

    Text Solution

    |

  16. If z1=2-i ,\ z2=1+i , find |(z1+z2+1)/(z1-z2+i)|.

    Text Solution

    |

  17. If z1=2-i ,\ z2=-2+i , find : R e((z1z2)/bar(z1))

    Text Solution

    |

  18. If z1=2-i ,\ z2=-2+i , find : Im(1/(z1bar(z2))).

    Text Solution

    |

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

    Text Solution

    |

  20. If x+i y=(a+i b)/(a-i b) prove that x^2+y^2=1

    Text Solution

    |