Home
Class 12
MATHS
If (a + ib)^2 = x + iy find x^2 + y^2...

If `(a + ib)^2 = x + iy` find `x^2 + y^2`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.1 (SHORT ANSWER QUESTIONS)|17 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - 5.2 (VERY SHORT ANSWER QUESTIONS )|34 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|7 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

Find (2x + y)^(2)

If ((1+i)/(1 -i)) - ((1 - i)/(1 +i)) = x +iy find x and y .

If (a+ib)^2=x+iy then x^2+y^2 =

The value of i^(i^(-i…..oo)) = x + iy then x^(2) + y^(2) =

If (1 + cos theta - isin theta) ( 1+ cos 2 theta + isin 2 theta) = x +iy then x^(2) + y^(2) =

Find the external centre of similitude for the circles x^(2) + y^(2) - 2x - 6y + 9 =0 and x^(2) + y^(2) = 4

If a,b,c,d inRR are such that a^2+b^2=4 and c^2+d^2=2 and if (a+ib)^2=(c+id)^2(x+iy)" then " x^2+y^2=

Find the external centre of similitude for the circles x ^(2) + y ^(2) -2x - 6y + 9=0 and x^(2) + y ^(2) =4

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.1(VERY SHORT ANSWER QUESTIONS)
  1. Find the multiplicative inverser of the following (3,4)

    Text Solution

    |

  2. Find the multiplicative inverser of the following (sin theta,cos th...

    Text Solution

    |

  3. Find the multiplicative inverser of the following (3 +i)/(1 +i)

    Text Solution

    |

  4. Find the multiplicative inverser of the following i^(-35)

    Text Solution

    |

  5. Find the multiplicative inverser of the following sqrt5 + 3i

    Text Solution

    |

  6. Find the multiplicative inverser of the following -i

    Text Solution

    |

  7. Find the modulus of the following (3-4i) (3 + 4i)

    Text Solution

    |

  8. Find the modulus of the following (4 +3i)/(5-12i)

    Text Solution

    |

  9. If (z(2))/(z(1))(z(1) ne 0) is an imaginary number, then find the valu...

    Text Solution

    |

  10. If z = 5 + (3sqrt2) i, find zbarz.

    Text Solution

    |

  11. Find the complex conjugate fo the following (3 + 4i)

    Text Solution

    |

  12. Find the complex conjugate fo the following (15 + 3i) - (4-20i)

    Text Solution

    |

  13. Write the conjugate of the complex numbers (2+5i)(-4+6i)

    Text Solution

    |

  14. Write the conjugate of the following complex number (5i)/(7+i)

    Text Solution

    |

  15. Find the complex conjugate fo the following (3 +4i) (2 - 3i)

    Text Solution

    |

  16. If z = (cos theta, sin theta), find (z - 1/z)

    Text Solution

    |

  17. If z = 2-3i, then show that z^2 - 4z + 13 = 0

    Text Solution

    |

  18. If (a + ib)^2 = x + iy find x^2 + y^2

    Text Solution

    |

  19. Find real and imaginary parts of the complex number (a + ib)/(a - ib)

    Text Solution

    |

  20. In the Argrand plane, the points represented by the complex numbers 1+...

    Text Solution

    |