Home
Class 11
MATHS
Reduce (1/(1-4i) -2/(1+i))((3-4i)/(5+i))...

Reduce `(1/(1-4i) -2/(1+i))((3-4i)/(5+i))` to the standard form.

Text Solution

Verified by Experts

The correct Answer is:
`(307)/(42)+(599)/(442)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|25 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 5.4|6 Videos

  • BINOMIAL THEOREM

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|7 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|9 Videos

Similar Questions

Explore conceptually related problems

If ((1-i)/(1-i))^(3)-((1-i)/(1+i^(3)))=x+iy , then (x,y).

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

Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the polar form.

Inverse of (3+4i)/(4-5i)

If z=(1+2i)/(1-(1-i)^(2)) then arg (z).....

If z=(1+7i)/((2-i)^(2) then......

Given that, z=(1+2i)/(1-i)=((1+2i)(1+i))/((1-i)(1+i))

(i) Write sum_(r=1)^(n)(r^(2)+2) in expanded form. (ii) Write the series (1)/(3)+(2)/(4)+(3)/(5)+(4)/(6)+"…"+(n)/(n+2) in sigma form.

The direction ratios of the line I_1 passing through P(1, 3, 4) and perpendicular to line I_2 (x-1)/(2)=(y-2)/(3)=(z-3)/(4) (where I_1 and I_2 are coplanar) is

Find the value of |(1+i)((2+i))/((3+i))|

KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-MISCELLANEOUS EXERCISE :
  1. Evaluate [i^(18) + (1/i)^(25)]^(3)

    Text Solution

    |

  2. For any two complex numbers z(1) and z(2), prove that Re (z(1)z(2)) = ...

    Text Solution

    |

  3. Reduce (1/(1-4i) -2/(1+i))((3-4i)/(5+i)) to the standard form.

    Text Solution

    |

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

    Text Solution

    |

  5. Conver the following in the polar form: (i) (1+7i)/(2-i)^(2), (ii) (...

    Text Solution

    |

  6. Conver the following in the polar form: (i) (1+7i)/(2-i)^(2), (ii) (...

    Text Solution

    |

  7. Solve: 3x^(2) - 4x + 20/3=0

    Text Solution

    |

  8. x^(2)-2x + 3/2=0

    Text Solution

    |

  9. 27x^(2) - 10x +1=0

    Text Solution

    |

  10. 21x^(2) - 28x + 10=0

    Text Solution

    |

  11. If z^(1) =2 -I, z(2)=1+i, find |(z(1) + z(2) + 1)/(z(1)-z(2) + 1)|

    Text Solution

    |

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

    Text Solution

    |

  13. Let z(1) =2-I, z(2) =-2 + i, Find (i) (Re(z(1)z(2))/barz(1)), (ii) I...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If alpha and beta are different complex numbers with |beta|=1, then fi...

    Text Solution

    |

  19. Find the numbers of non-zero integral solutions of the equation |1-i|^...

    Text Solution

    |

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

    Text Solution

    |