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 transformed to the form `y^2+A x=0.`

Text Solution

Verified by Experts

`y^2+Ax=0`
`y^2-6y+(3^2-3^2)-4x+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`
...
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 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 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

The coordinates of the point where origin is shifted is (-1,2) so that the equation 2x^(2)+y^(2)-4x+4y=0 become?

When the origin is shifted to (2,3) then the original equation of x^(2)+y^(2)+4x+6y+12=0 is

The origin shifted to (-5,3) then the equation y^(2)-12x+6y+69=0 changes as y^(2)=4ax then a

RD SHARMA-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-Solved Examples And Exercises
  1. For what value of k are the points (k ,2-2k) (k+1,2k) and (-4-k ,6-2k...

    Text Solution

    |

  2. If the coordinates of the mid-points of the sides of a triangle are (1...

    Text Solution

    |

  3. Find the point to which the origin should be shifted so that the eq...

    Text Solution

    |

  4. A B is a variable line sliding between the coordinate axes in such ...

    Text Solution

    |

  5. A point moves so that the sum of its distances from (a e ,0)a n d(-a e...

    Text Solution

    |

  6. A point moves so that the sum of its distances from (a e ,0)a n d(-a e...

    Text Solution

    |

  7. Find the equation of the locus of a point which moves such that the ...

    Text Solution

    |

  8. Find the equation to the locus of a point equidistant from the points ...

    Text Solution

    |

  9. The sum of the squares of the distances of a moving point from two ...

    Text Solution

    |

  10. Find the locus of a point, such that the join of (-5,1)a n d(3,2) subt...

    Text Solution

    |

  11. Find the locus of a point such that the sum of its distances from the ...

    Text Solution

    |

  12. Find the locus of the mid-point of the portion of the line xcosalpha+y...

    Text Solution

    |

  13. A(5,3), B(3,-2) are two fixed points; find the equation to the locus o...

    Text Solution

    |

  14. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

    Text Solution

    |

  15. If the segments joining the points A(a , b)a n d\ B(c , d) subtends an...

    Text Solution

    |

  16. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

    Text Solution

    |

  17. If the vertices of a triangle having integral coordinates . Prove that...

    Text Solution

    |

  18. If the coordinates of two points A and B are (3, 4) and (5,-2) , re...

    Text Solution

    |

  19. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

    Text Solution

    |

  20. Find the coordinates of points lying on the line joining P(3,-4) and Q...

    Text Solution

    |