Home
Class 11
MATHS
Find the point to which the origin shoul...

Find the point to which the origin should be shifted so that the equation `y^2-6y-4x+13=0` is transferred to the form `y^2+Ax=0`

Text Solution

Verified by Experts

`y^2+Ax=0`
`y^2 − 6 y + ( 3 2 − 3 2 ) − 4 x + 13 = 0`
`(y-3)2+4-4x=0`
`(y-3)2+4(1-x)=0`
`(y-3)^2-4(x-1)=0`
`y^2+Ax=0`
`A=-4`.
`y − 3 = 0`
`y = 3` ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos
  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos

Similar Questions

Explore conceptually related problems

Find the point to which the origin should be shifted so that the equation y^(2)-6y-4x+13=0 is transformed to the form y^(2)+Ax=0

Find the point at which origin is shifted such that the transformed equation of y^(2)-4y+8x-2=0 is independent of constant term.

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree term: y^(2)+x^(2)-4x-8y+3=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree terms : (i) x^(2)+y^(2)-5x+2y-5=0 (ii) x^(2)+y^(2)-4x-8y+3=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree term: x^(2)+y^(2)-5x+2y-5=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree term: x^(2)-12x+4=0

Find the point at which origin is shifted such that the transformed equation of x^(2)+2y^(2)-4x+4y-2=0 has no first degree term. Also find the transformed equation .

The origin is shifted to (1,2), the equation y^(2)-8x-4y+12=0 changes to Y^(2)+4aX=0 then a=

The point to which the origin should be shifted in order to eliminate x and y terms in the equation x^(2)+3y^(2)-2x+12y+1=0 is

Without rotating the original coordinate axes, to which point should origin be transferred,so that the equation x^(2)+y^(2)-4x+6y-7=0 is changed to an equation which contains no term of first degree?

RD SHARMA-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-Solved Examples And Exercises
  1. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  2. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  3. Find what the following equation become when the origin is shifted ...

    Text Solution

    |

  4. Find the point to which the origin should be shifted so that the equat...

    Text Solution

    |

  5. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  6. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  7. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  8. Find what the following equations become when the origin is shifted...

    Text Solution

    |

  9. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  10. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  11. Find the point to which the origin should be shifted after a transl...

    Text Solution

    |

  12. Verify that the area of the triangle with vertices (4,6), (7,10) an...

    Text Solution

    |

  13. The vertices of a triangle are O(0,0),\ A(a ,0)a n d\ B(0, b) . Write ...

    Text Solution

    |

  14. Write the coordinates of the orthocentre of the triangle formed by ...

    Text Solution

    |

  15. Three vertices of a parallelogram, taken in order, are (-1, -6), (2...

    Text Solution

    |

  16. If the points (a ,0),(a t1 2,\ 2a t1)a n d\ a t2 2,\ 2a t2) are col...

    Text Solution

    |

  17. Write the co ordinates of the circumcentre of a triangle whose centroi...

    Text Solution

    |

  18. Write the coordinates of the incentre of the triangle having its ve...

    Text Solution

    |

  19. If the points  (1,-1), (2,-1) and (4,-3) are the mid points of the ...

    Text Solution

    |

  20. Write the area of the triangle having vertices at (a , b+c),\ (b , c+a...

    Text Solution

    |