Home
Class 12
MATHS
Show that the complex number ((4+3i)/(3...

Show that the complex number ` ((4+3i)/(3 + 4i)) ((4 -3i)/(3-4i))` is purely real.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • BINOMIAL THEOREM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

Similar Questions

Explore conceptually related problems

Prove that the complex number ((3+2i)/(2-3i)) + ((3-2i)/(2+ 3i)) is purely real.

Show that (1+ 2i)/(3+4i) xx (1-2i)/(3-4i) is real

Prove that the following complex number is purely real: (i) ((2+3i)/(3+4i))((2-3i)/(3-4i))

Find the square root of the following complex number ((2+3i)/(5-4i) + (2-3i)/(5+4i))

Find the square root of the complex number -4-3i

The modulus of ((1+2i)(3-4i))/((4+3i)(2-3i)) is

What is the product of the complex numbers (−3i+4) and (3i+4)?

Find the modulus of the following complex numbers ((3+2i)^(2))/((4-3i))

Find the modulus of ((3+2i) (1+i) (2+3i))/((3+4i) (4+5i))

Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
  1. Express 1/(1+cos theta-i sin theta) in the form of a +ib.

    Text Solution

    |

  2. Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

    Text Solution

    |

  3. Show that the complex number ((4+3i)/(3 + 4i)) ((4 -3i)/(3-4i)) is pu...

    Text Solution

    |

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

    Text Solution

    |

  5. Plot the conjegate of the complex number 2-3i on the Argand plane.

    Text Solution

    |

  6. Plot the conjegate of the complex number -7-4i on the Argand plane. ]

    Text Solution

    |

  7. Mutiply ( 5 +2i) by its conjugate.

    Text Solution

    |

  8. Find the conjugate of ((1-2i)^(2))/(2 + i)

    Text Solution

    |

  9. if z = 2 + i + 4i^(2) -6i^(3) then verify that (i) (bar(z^(2)) = (...

    Text Solution

    |

  10. if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - bar...

    Text Solution

    |

  11. if z(1) = 3-i and z(2) = -3 +i, then find Re ((z(1)z(2))/(barz(1))...

    Text Solution

    |

  12. Let z(1)=2-i and z(2)=2+i, then "Im"((1)/(z(1)z(2))) is

    Text Solution

    |

  13. Find real values of x and y for which the complex numbers 7 + ix^(2)y...

    Text Solution

    |

  14. Find real number x and y if (x-iy)(4 + 7i) is the conjugate of 29-2i.

    Text Solution

    |

  15. Find the conjugate of (sqrt2 -isqrt2)/(2sqrt5-isqrt2)

    Text Solution

    |

  16. If ((a+i)^2)/((2a-i))=p+i q , show that: p^2+q^2=((a^2+1)^2)/((4a^2+1)...

    Text Solution

    |

  17. Represent the modulus of 3+4i in the Argand plane.

    Text Solution

    |

  18. Represent the modulus of 1+i, in the Argand plane.

    Text Solution

    |

  19. Find the modulus of (2 -3i)/( 4+i)

    Text Solution

    |

  20. Find the modulus of ((3+2i)^(2))/(4-3i)

    Text Solution

    |