Home
Class 12
MATHS
Find the real values of x and y, if (...

Find the real values of x and y, if
` (3x - 7) + 2 iy = -5y + (5 + x)i `

Text Solution

Verified by Experts

The correct Answer is:
`x = -1, y = 2`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.1|6 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.2|3 Videos

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

Find the values of the real numbers x and y if 3x + (2x - 3y) i=6 + 3i^(9)

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) x = -5 (ii) y = 2 (iii) 2x = 3 (iv) 5y = -3

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-24i .

Find the values of the real numbers x and y, if the complex numbers (3 - i) x - (2-i) y + 2i + 5 and 2x + (-1 + 2i)y + 3 + 2i are equal

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

Express the following linear equation in the form of ax+by+c=0 and indicate the values of a, b and c in each case. (i) 8x + 5y - 3 = 0 (ii) 28x - 35y = - 7 (iii) 93x = 12 - 15y (iv) 2x = - 5y (v) x/3+y/4=7 (vi) y=(-3)/2x (vii) 3x+5y=12

Find the value of x, y, z if ((x-3, 3x-z), (x+y+7, x+y+z))=((1, 0), (1, 6))

FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. Show that : (i) {i^(19) + (1/i)^(25)}^(2) = -4 " "(ii) {i^(17) -...

    Text Solution

    |

  2. The value of sum(i=1)^(13) (n^(n) + i^(n-1)) is

    Text Solution

    |

  3. Find the real values of x and y, if (3x - 7) + 2 iy = -5y + (5 + x)...

    Text Solution

    |

  4. For what values of x and y the numbers -3+ix^(2)y and x^(2)+y+4i and c...

    Text Solution

    |

  5. Given x = 2 - 3i and y = 4 + i. Find (i) xy " "(ii) x + y " ...

    Text Solution

    |

  6. If z1 = 4 - 7i , z2 = 2 + 3i and z3 = 1 + i show that z1 + (z2 + z3...

    Text Solution

    |

  7. Given z1 = 1 + i, z2 = 4 - 3i and z3 = 2 + 5i verify that. z1(z2 - z...

    Text Solution

    |

  8. Given z1 = 4 - 7i and z2 = 5 + 6i find the additive and multiplicative...

    Text Solution

    |

  9. Express the following in the standard form a + ib. (2(i -3))/((1 + ...

    Text Solution

    |

  10. Find the least positive integer n such that ((1 + i)/(1 - i))^(n) = 1.

    Text Solution

    |

  11. Find x and y for which of the following is satisfied. ((1+i)x-2i)/(3...

    Text Solution

    |

  12. Find the modulus and argument of the following complex numbers and con...

    Text Solution

    |

  13. Find the square roots of -15 - 8i

    Text Solution

    |

  14. Express the following in the standard form a + ib. (i^4 + i^9 + i^(16)...

    Text Solution

    |

  15. Find the modulus or the absolute value of ((1 + 3i)(1 - 2i))/((3 + 4i)...

    Text Solution

    |

  16. Find the modulus and principal argument of the following complex numbe...

    Text Solution

    |

  17. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

    Text Solution

    |

  18. Find the square root of (-7 + 24i).

    Text Solution

    |

  19. If the imaginary part of (2z + 1)/(iz + 1) is -2, then show that the l...

    Text Solution

    |

  20. If the real part of (barz + 2)/(barz - 1) is 4, then show that locus o...

    Text Solution

    |