Home
Class 12
MATHS
Find the point to which the origin shoul...

Find the point to which the origin should be shifted so that the equation `3y^(2)+6y-5x-7=0` is reduced to the form `y^(2)=ax`.

Text Solution

Verified by Experts

The correct Answer is:
(-2,-1)
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams A (Multiple Correct Answer Type)|5 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams B (Integer Answer Type)|5 Videos

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Short Type Questions )|44 Videos

  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

Find the point to which the origin should be shifted after a translation of axes , so that the equation 3x^(2)+8xy+3y^(2)-2x+2y-2=0 will have no first degree terms.

find the new origin on the x-axis so that the equation ax+by+c=0 reduce to the form ax+by=0

Choose a new origin (h,k) (retaining the directions of axes) so that the equation 5xy+y^(2)+25x-5y-65=0 is reduced to the form Ax'y'+By'^2 =1 . Also find the actual values of A and B.

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

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?

Shift the origin to a suitable point so that the equation y^2+4y+8x-2=0 will not contain a term in y and the constant term.

Transform the equation 3x^(2)+2y^(2)-4x+3y=0 to parallel axes through the point (1,-2).

Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y+5=0 will not contain the term in x and the constant term.

If the axes are transferred to parallel axes throught the point (0-4) , then the equation 4x+3y+12=0 reduces to the form -

Without changing the direction of the axes, the origin is transferred to the point (2,3). Then the equation x^(2)+y^(2)-4x-6y+9=0 changes to

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Long Type Questions )
  1. The points P,Q,R are collinear , if the coordinates of P and Q be (3,4...

    Text Solution

    |

  2. The coordinates of the points A,B,C D are respectively (6,3) , (-3,5) ...

    Text Solution

    |

  3. The coordinates of the points A,B,C and D are (-2,3), (8,9), (0,4) and...

    Text Solution

    |

  4. The coordinates of the points A and B are (3,4) and (5,-2) respective...

    Text Solution

    |

  5. The area of a quadrilateral is 28 square unit. If the coordinates of i...

    Text Solution

    |

  6. If x(1),x(2),x(3) as well as y(1),y(2),y(3) are in G.P. with the sa...

    Text Solution

    |

  7. Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that the distance between two points remains unaltered by the tra...

    Text Solution

    |

  10. Reduce the equation x+y+5=0 andx-2y+2=0 to the form ax+by =0 by prope...

    Text Solution

    |

  11. Choose a new origin (h,k) (retaining the directions of axes) so that t...

    Text Solution

    |

  12. Find the distance between the point (1+sqrt2,1-sqrt2) and (0,0)

    Text Solution

    |

  13. Show that the straight line joining the mid - points of two sides of a...

    Text Solution

    |

  14. Show that the straight lines joining the mid - points of the opposite ...

    Text Solution

    |

  15. Prove analytically that the area of a triangle is four times that of t...

    Text Solution

    |

  16. Using analytical method prove that the mid - point of the hypotenuse o...

    Text Solution

    |

  17. If two medians of a triangle are equal , prove analytically that the t...

    Text Solution

    |

  18. Using coordinate geometry prove that an isosceles traigle has two equa...

    Text Solution

    |

  19. D,E,F are the mid - points of the sides overline(BC),overline(CA)andov...

    Text Solution

    |

  20. ABC is a right angled triangle right angled at B. If P and Q are the m...

    Text Solution

    |