Home
Class 12
MATHS
The latusrectum of the parabola 13[(x-3)...

The latusrectum of the parabola `13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2)`

A

`(2)/(sqrt(13))`

B

`(4)/(sqrt(13))`

C

`(1)/(sqrt(13))`

D

`(5)/(sqrt(13))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos
  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos
  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 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

The length of the latusrectum of the parabola 20(x^(2)+y^(2)-6x-2y+10)=(4x-2y-5)^(2) is

The equation of the latusrectum of the hyperbola 3y^(2)-4x^(2)=12 are

Axis of the parabola x^(2)-3y-6x+6=0 is

The equation of the axis of the parabola (y+3)^(2)=4 (x-2) is

The vertex of the parabola y^(2)+4x-2y+3=0 is

Axis of the parabola x^(2)-3y-6x+6 = 0 is

The area of the region bounded by the parabolas x=-2y^(2) and x=1-3y^(2) is

Find the eccentricity foci, equation of the directrices and length of the latusrectum of the hyperbola x^(3) - 4y^(2) = 4

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. I : The length of the latus rectum of the parabola y^(2)+8x-2y+17=0 i...

    Text Solution

    |

  2. The length of latus rectum of the parabola whose focus is ((u^(2))/(2g...

    Text Solution

    |

  3. The latusrectum of the parabola 13[(x-3)^(2)+(y-4)^(2) ]= (2x-3y+5)^(2...

    Text Solution

    |

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

    Text Solution

    |

  5. The parabola (y+1)^(2)=a(x-2) passes through point (1,-2). The equaito...

    Text Solution

    |

  6. lf L and L^(1) are ends or latusrectum of the parabola 9y^(2)= 4x then...

    Text Solution

    |

  7. The point (2a, a) lies inside the region bounded by the parabola x^(2)...

    Text Solution

    |

  8. The length or double ordinate of parabola ,y^(2) = 8x which subtends a...

    Text Solution

    |

  9. An equilateral triangle is inscribed in the parabola y^(2) = 8x with o...

    Text Solution

    |

  10. If an equilateral Delta is inscribed in a parabola y^(2) = 12x with on...

    Text Solution

    |

  11. The angle subtended by the double ordinate of length 8a of the parabol...

    Text Solution

    |

  12. PQ is a double ordinate of the parabola y^(2)+4x . The locus of its po...

    Text Solution

    |

  13. An arch is in the shape of a parabola whose axis is vertically downwor...

    Text Solution

    |

  14. The point or contact of the Une 2x-y+2 = 0 with the parabola y^(2)=16x...

    Text Solution

    |

  15. The equation of the tangent to the parabola y^(2)=8x inclined at 30^(@...

    Text Solution

    |

  16. The straight line x+y touches the parabola y=x-x^(2) then k =

    Text Solution

    |

  17. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

    Text Solution

    |

  18. The line among the following that touches the parabola y^(2)=4ax is

    Text Solution

    |

  19. Assertion (A) : The locus of the point of intersection of perpendicul...

    Text Solution

    |

  20. Two tangents are drawn from (- 2, -1) to y^(2) = 4x. If theta is the a...

    Text Solution

    |