Home
Class 12
MATHS
The ends of the latus rectum of the para...

The ends of the latus rectum of the parabola `(x-2)^(2)=-6(y+1)` are

A

(2, 7),(3, - 7)

B

(0,5), (0, -5)

C

(0,7), (0, -5)

D

`(5,-5//2), (-1,-5//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 Videos
  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos
  • PARABOLA

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|13 Videos
  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

L and L are the ends of the latus rectum of the parabola x^(2)=6y. The equation of OL and OL where O is the origin is

The equation of the latus rectum of the parabola (y-2)^(2)=-4(x+2) is

If L and L' are the ends of the latus rectum of the parabola x^(2)=6y find the equations of OL and OL' where 'O' is the origin.Also find the angle between them.

The length of the latus rectum of the parabola y^(2)+8x-4y-4=0 .

Find the length of the latus rectum of the parabola 2[(x-a)^(2)+(y-a)^(2)]=(x+y)^(2)

The length of the latus rectum of the parabola 3x^(2)-9x+5y-2=0 is

The length of the latus rectum of the parabola x^(2)-4x+8y+28=0 is

The length of the latus rectum of the parabola y^(2) +8x-2y+17=0 is

I : The length of the latus rectum of the parabola y^(2)+8x-2y+17=0 is 8 . II: The focal distance of the point (9,6) on the parabola y^(2)=4x is 12

The equation of the normal at the positive end of the latus rectum of the hyperbola x^(2) -3y^(2) =144 is

AAKASH SERIES-PARABOLA-EXERCISE- I
  1. The vertex and focus of parabola (y-2)^(2) = -4(x-4) are

    Text Solution

    |

  2. The equation of the latus rectum of the parabola x^(2)-12x-8y+52=0 is

    Text Solution

    |

  3. The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

    Text Solution

    |

  4. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  5. If (6, 9) is one end of double ordinate of x^(2)=4y then equation of d...

    Text Solution

    |

  6. If x+y-1 = 0 touches the parabola y^(2) = kx the value of k is

    Text Solution

    |

  7. If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k =

    Text Solution

    |

  8. The condition for- the line 4x + 3y + k = 0 to intersect y^(2) = 8x is

    Text Solution

    |

  9. The equation of the tangent to the parabola y^(2)=16x and perpendicul...

    Text Solution

    |

  10. The sum and product of the slopes of the tangents to the parabola y^(2...

    Text Solution

    |

  11. The locus of the point of intersection of two tangents to the parabola...

    Text Solution

    |

  12. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  13. Angle between tangents drawn at ends of focal chord of parabola y^(2) ...

    Text Solution

    |

  14. Point of intersection of tangents to the paraholu (y-2)^(2) = 4(x-1) a...

    Text Solution

    |

  15. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |

  16. The graph represented by the equations x= sin ^(2) t, y = 2 cos t is

    Text Solution

    |

  17. Find the value of k if the line 2y=5x+k is a tangent to the parabola y...

    Text Solution

    |

  18. The equation of the tangent to the parabola y^(2)=8x and which is para...

    Text Solution

    |

  19. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

    Text Solution

    |

  20. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

    Text Solution

    |