Home
Class 9
MATHS
Find the values of x and y if x^(2)+y^(2...

Find the values of x and y if `x^(2)+y^(2)-2x+4y=-5`.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.1|30 Videos

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 Videos

  • LAWS OF INDICES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 6|67 Videos

  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos

Similar Questions

Explore conceptually related problems

Find the values of x and y when x^(2)+y^(2)-2sqrt(2)x+2sqrt(5)y=-7 .

(a) If x : y = 3 : 4 , then find the value of the ratio (2x + y) : ( 9x - 2y) . (b) If x : y = 5 : 4 , then find the value of the ratio (x^(2) + xy) : (x^(2) - xy) .

Find the value of (2x+3y)+(3x+y).

Find the value of the x^2+7xy+y^2 , when x=-2, y=-5

If (3x-5y)/(3x+5y) = 1/2 . Then find the value of (3x^(2)-5y^(2))/(3x^(2) + 5y^(2)) .

Find the least positive values of x and y: sin(x-y)=1/2, cos(x+y)=1/2 .

If x=2+3i and y=2-3i then find the values of : (x^(2)+xy+y^(2))/(x^(2)-xy+y^(2))

Find the value of the x^2+y^2 , when x=2, y=-5

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. Find the values of x and y if x^(2)+y^(2)-2x+4y=-5.

    Text Solution

    |

  2. The least natural numbers, by which the equations 4x-3y=16 and 6x+5y=6...

    Text Solution

    |

  3. The least natural numbers, by which the equation 2x+3y=11 and 3x-4y=8 ...

    Text Solution

    |

  4. The number, by which the equation 7x-5y+2=0 should be multiplied so th...

    Text Solution

    |

  5. The constant term, by which the equation ax+by=c should be multiplied...

    Text Solution

    |

  6. The number by which the equation (x+a)/a=(y+b)/b should be multiplied ...

    Text Solution

    |

  7. The quantities, by which the equation px+qy=1 " and " qx+py=(a+b)^(2)/...

    Text Solution

    |

  8. If x of the equation x/3+y/2=8 is expressed in term of y we get,

    Text Solution

    |

  9. Solve the simultaneous linear equation in two variables px+qy+r=0 and ...

    Text Solution

    |

  10. Find the quantity by which the the equation (a+b)(x+y)=a^(2)+b^(2) sho...

    Text Solution

    |

  11. Eliminate t: x=at^(2), y=2at

    Text Solution

    |

  12. Prove that x+y=5 when 101x+99y=499 and 99x+101y=501.

    Text Solution

    |

  13. Express y of the equation (xy)/(x-y)=8 in term of x.

    Text Solution

    |

  14. If y=(ax+b)/(cx+d), then express x in term of y.

    Text Solution

    |

  15. Determine the value of y by eliminating x from the simultaneous linear...

    Text Solution

    |

  16. Determine the value of x by substituting y=2/(5x+3) in the equation 2x...

    Text Solution

    |

  17. Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equa...

    Text Solution

    |

  18. Find the value of y if x=y/(1-9y) " and " x=(-y)/(1-5y).

    Text Solution

    |

  19. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  20. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  21. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |