Home
Class 11
MATHS
By shifting origin to (-1,2) the equatio...

By shifting origin to `(-1,2)` the equation `y^2+8x - 4y + 12 = 0` changes as `Y^2 = 4aX` then `a=`

A

1

B

2

C

`-2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
By shifting the origin at (1,2) we have
`x=X+1,y=Y+2`
Substituting these values in `y^(2)-8x-4y+12=0` we have
`(Y+2)^(2)-8h(X+1)-4(Y+2)+12=0`
`rArr Y^(2)-8X=0 rArr Y^(2)=8X`
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

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.

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.

When the origin is shifted to a suitable point, the equation 2x^2+y^2-4x+4y=0 transformed as 2x^2+y^2-8x +8y+ 18=0 . The point to which origin was shifted is

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

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

Pair of tangents are drawn from origin to the circle x^2 + y^2 – 8x – 4y + 16 = 0 then square of length of chord of contact is

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.

In order to make the first degree terms missing in the equation 2x^2+7y^2+8x-14y+15=0, the origin should be shifted to the point

The directrix of the parabola x^2-4x-8y + 12=0 is

The directrix of the parabola x^2-4x-8y + 12=0 is

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN CO-ORDINATE SYSTEM -Section I - Solved Mcqs
  1. The number of point equidistant to three given distinct non-collinear ...

    Text Solution

    |

  2. The area of the triangle formed by theorigin, the point P(x,y) and its...

    Text Solution

    |

  3. Q,R and S are the points on line joining the points P(a,x) and T(b,y) ...

    Text Solution

    |

  4. The angle through which the coordinates axes be rotated so that xy-ter...

    Text Solution

    |

  5. If the axes are rotated through an angle of 30^@ in the anti clockwise...

    Text Solution

    |

  6. If the axes are rotated through an angle of 45^(@) in the clockwise d...

    Text Solution

    |

  7. To remvoe the first dgree terms in the equation 4x^(2)+9y^(2)-8x+36y+4...

    Text Solution

    |

  8. By shifting origin to (-1,2) the equation y^2+8x - 4y + 12 = 0 changes...

    Text Solution

    |

  9. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  10. The line joining A(bcosalpha,bsinalpha) and B(acosbeta,asinbeta) is pr...

    Text Solution

    |

  11. Find the incentre of the triangle with vertices A91,sqrt3), B(0,0) and...

    Text Solution

    |

  12. If the circumcenter of an acute-angled triangle lies at the origin ...

    Text Solution

    |

  13. The x-coordinate of the incentre of the triangle that has the coordi...

    Text Solution

    |

  14. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  15. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

    Text Solution

    |

  16. Consider three points P = (-sin (beta-alpha), -cos beta), Q = (cos(bet...

    Text Solution

    |

  17. A triangle are (6,0).(0, 6) and (6,6). If distance between circumcentr...

    Text Solution

    |

  18. The x-coordinate of the incentre of the triangle that has the coordi...

    Text Solution

    |

  19. Let A(5, 12), B(-13 costheta, 13 sin theta) and C(13 sin theta, -13 co...

    Text Solution

    |

  20. Let k be an integer such that the triangle with vertices (k ,-3k),(5...

    Text Solution

    |