Home
Class 12
MATHS
If the equation 8[(x + 1)^(2) + (y - 1)^...

If the equation `8[(x + 1)^(2) + (y - 1)^(2)] = (x - y + 3)^(2)` represents a conic. The equation of its latusrectum is

A

x-y+3=0

B

x-y+2=0

C

x+y=0

D

x+y=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(2) - y^(2) - 2x+2y+lambda =0 represents a degenerate conic then find the value of lambda .

The equation | sqrt( (x- 2) ^(2) + (y-1) ^(2)) - sqrt( (x+ 2)^(2) +y^(2)) =c will represent a hyperbola if

The equation 3x^(2)+10xy-8y^(2) =0 represents

If x^2 + y^2 - 6x + 4y - 12 = 0 represents a circle, then find its parametric equations.

Vertex is (4, 3) and diretctrix is 3x+2y-7=0 then equation of latusrectum is

The equation sqrt((x-2)^(2)+y^(2))+sqrt((x+2)^(2)+y^(2))=4 represents

Find the equation of the tangent to x^(2) + y^(2) - 2x + 4y=0 " at" (3,-1) Also find the equation of tangent parallel to it.

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. The length of the latusrectum of 9x^(2) + 25y^(2) - 90x - 150y + 225 =...

    Text Solution

    |

  2. Equations of the latus recta of the ellipse 9x^(2)+4y^(2)-18x-8y-23=0 ...

    Text Solution

    |

  3. If the equation 8[(x + 1)^(2) + (y - 1)^(2)] = (x - y + 3)^(2) repres...

    Text Solution

    |

  4. If A = (1,2),B = ( 3 ,-2 ) and P moves in the plane such that AP + BP ...

    Text Solution

    |

  5. Match the following from List-I to List-II {:(list-I,list-II),("majo...

    Text Solution

    |

  6. (x - 2)^(2) + (y + 3)^(2) = 16 touching the ellipse (x-2)^(2)/(p^(2))+...

    Text Solution

    |

  7. The radius of the circle passing through the foci of the ellipse x^(2)...

    Text Solution

    |

  8. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  9. A focus of an ellipse is at the origin the directrix is the line x=4 a...

    Text Solution

    |

  10. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

    Text Solution

    |

  11. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

    Text Solution

    |

  12. The area of an ellipse is 8pi sq. units dist. between the foci is 4sqr...

    Text Solution

    |

  13. Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at ...

    Text Solution

    |

  14. A circle is described with minor axis of an ellipse as a diameter. If ...

    Text Solution

    |

  15. The eccentricity of the ellipse given by the locus of the point P(x, y...

    Text Solution

    |

  16. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

    Text Solution

    |

  17. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

    Text Solution

    |

  18. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

    Text Solution

    |

  19. The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

    Text Solution

    |

  20. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |