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

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(3)+(sqrt(2)-1)I,(-6+sqrt(2))+(sqrt(3)+2sqrt(6))i`.
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (e) Long Answer Type Questions|3 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (f) Short Answer Type Questions|3 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (d)|5 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

Find the modulus and argument of the complex number -2+2sqrt3i

Find the modulus and argument of the complex number 3sqrt2 -3sqrt2i .

Find the modulus and the arguments of the complex number z=-sqrt(3)+i

(-sqrt(3)+sqrt(-2))+(2sqrt(3) + i)

Write the complex number: (sqrt(3))/(2)(sqrt(-2))/(7)

Find the modulus and the argument of the complex number -(16)/(1+i sqrt(3))

Find the modulus and amplitude of the following complex numbers sqrt3 + sqrt2 i

Find the multiplicative inverse of the complex number sqrt(5)+3i

Find the modulus and argument of the following complex number: z=-sqrt(3)+i

Express as a+ib(-sqrt(3)+sqrt(-2))(2sqrt(3)-i)

MODERN PUBLICATION-COMPLEX NUMBERS-Exercise 5 (e) Short Answer Type Questions
  1. Express the result in the form x+iy, where x,y are real number i=sqrt(...

    Text Solution

    |

  2. Express the result in the form x+iy, where x,y are real number i=sqrt(...

    Text Solution

    |

  3. Express the result in the form x+iy, where x,y are real number i=sqrt(...

    Text Solution

    |

  4. Express the result in the form x+iy, where x,y are real number i=sqrt(...

    Text Solution

    |

  5. Express the result in the form x+iy, where x,y are real number i=sqrt(...

    Text Solution

    |

  6. Perform the following by the indicated operations. Express the result ...

    Text Solution

    |

  7. Perform the following by the indicated operations. Express the result ...

    Text Solution

    |

  8. Compute: (i) sqrt(-49)(2+sqrt(-9)) (ii) [2+sqrt(-25)]-[3-sqrt(-16)]+...

    Text Solution

    |

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

    Text Solution

    |

  10. (a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii...

    Text Solution

    |

  11. Find the reciprocal of : (i) 7+sqrt(7)i (ii) i-5.

    Text Solution

    |

  12. Prove that: (i) z=overline(z) iff z is real (ii) z=-overline(z) if...

    Text Solution

    |

  13. Prove that: R(e)z=(z+overline(z))/(2),I(m)z=(z-overline(z))/(2i)

    Text Solution

    |

  14. Prove that: (i) the sum of a complex number and its conjugate is real ...

    Text Solution

    |

  15. Give an example to show that subtraction of complex number is not comm...

    Text Solution

    |

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

    Text Solution

    |

  17. If z(1),z(2) are respectively 1-i,-2+4i, find I(m){(z(1)z(2))/(z(1))}.

    Text Solution

    |

  18. Finid the vlues of x and y if: (i) (x+iy)(1+i)=1-i (ii) ((1+i)x-2i...

    Text Solution

    |

  19. If 1+4sqrt(3)i=(1+ib)^(2), prove that: a^(2)-b^(2)=1 and ab=2sqrt(3)...

    Text Solution

    |

  20. Show that if a,b,c,d in R, overline((a+ib)(c+id))=(a-ib)(c-id).

    Text Solution

    |