Home
Class 11
MATHS
Find the sum and product of the complex...

Find the sum and product of the complex number `(-1 +2i)` with its conjugate.

Text Solution

Verified by Experts

The correct Answer is:
N/a
Sum = -2, Product = 5
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5C|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5D|6 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise EXERCISE 5A|9 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Example|68 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Find the sum and product of the complex number (3-4i) with its conjugate.

Find the modulus of the complex number ((i)/(1-i))

Find the modulus of the complex number: (1)/(2-3i) .

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

Find the conjugate and modulus of complex number 7-24i .

Find the product of complex numbers (2+9i),(11+3i) .

The conjugate of the complex number (a+ib) is :

Find the sum and product of the complex numbers -sqrt(3)+sqrt(-2) and 2sqrt(3)-i

1.The product of two complex number 2+3i and 1-i is:

Find the modulus and of the complex of the complex numbers: 1/(1+i)

NAGEEN PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATION -EXERCISE 5B
  1. Prove that : (i) sqrt(i)= (1+i)/(sqrt(2)) (ii) sqrt(-i)=(1- i)/(sqr...

    Text Solution

    |

  2. Find the sum and product of the complex number (3-4i) with its conjug...

    Text Solution

    |

  3. Find the sum and product of the complex number (-1 +2i) with its conj...

    Text Solution

    |

  4. Find the multiplicative inverse of the following complex number: (2+sq...

    Text Solution

    |

  5. Write the following in the form of ordered pair : (i) 3-2i (ii)...

    Text Solution

    |

  6. Convert the following in the form of a complex number : (i) (2, -5)...

    Text Solution

    |

  7. Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+...

    Text Solution

    |

  8. If z=1+2i, show that z^(2)-2z+5=0. Hence find the value of z^(3) +7z^...

    Text Solution

    |

  9. Z=-5+4i then Z^4 +9Z^3 +35Z^2 – Z + 4 =

    Text Solution

    |

  10. If z(1)=2-i, z(2)=1+ 2i, then find the value of the following : (i)...

    Text Solution

    |

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

    Text Solution

    |

  12. (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

    Text Solution

    |

  13. If = (a^(2) + 1)^(2)/(2a-i)=x+iy," then when is the value of " x^(2)+...

    Text Solution

    |

  14. Write the least positive integral value of n for which ((1+i)/(1-i))^n...

    Text Solution

    |

  15. The complex number z is purely imaginary , if

    Text Solution

    |

  16. If a^2+b^2=1.Then (1+b+ia)/(1+b-ia)=

    Text Solution

    |

  17. Find the real values of theta for which the complex number (1+i costhe...

    Text Solution

    |

  18. Find the square root of the following : (i) 3-4i (ii) 4+6isqrt(5) ...

    Text Solution

    |

  19. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

    Text Solution

    |

  20. The sum and product of two complex numbers are real if and only if the...

    Text Solution

    |