Home
Class 12
MATHS
The latus rectum of a parabola whose foc...

The latus rectum of a parabola whose focal chord is PSQ such that SP = 3 and SQ = 2

A

24/5

B

12/5

C

6/5

D

1/5

Text Solution

Verified by Experts

The correct Answer is:
A
since, the semi-latusrectum of a parabola is the HM of segments of a focal chord. `
`=(2sp.sq)/(sp+sq)`=(2x3x2)/(3+2)=12/5`
latusrectum=therefore =24/5`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 Videos

Similar Questions

Explore conceptually related problems

The ends of latus rectum of parabola x^(2)+8y=0 are

Length of latus rectum of a parabola whose focus is (3,3) and directrix is 3x - 4y - 2 = 0 is

Find the length of the latus rectum of the parabola whose focus is at (2,3) and directrix is the line x-4y+3=0

A circle is described whose centre is the vertex and whose diamete is three-quarters of the latus rectum of a parabola y^(2)=4ax. The common chord of the circle and parabola is

The length of latus rectum of parabola whose whose focus is (-6,6) and vertex is (-2,2) is

The length of latus-rectum of parabola x^(2) = - 16 y is :

If the focus of a parabola divides a focal chord in segments of lengths 3 and 2 , then the length of its latus rectum is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-CIRCLE AND CONICS-All Questions
  1. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

    Text Solution

    |

  2. The nearest point on the circle x^2 +y^2-6x + 4y-12=0 from (-5,4) is

    Text Solution

    |

  3. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  4. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  5. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  6. The directrix of the parabola y^(2)+4x+3=0is

    Text Solution

    |

  7. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  8. The focal distance of a point on the parabola y^2= 16x whose ordinat...

    Text Solution

    |

  9. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  10. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  11. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

    Text Solution

    |

  12. If (-1,-2sqrt2)is one of exteremity of a focal chord of the parabola ...

    Text Solution

    |

  13. The latus rectum of a parabola whose focal chord is PSQ such that SP =...

    Text Solution

    |

  14. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  15. Distance between foci is 8 and distance between directrices is 6 of hy...

    Text Solution

    |

  16. The eccenttricity of the hyperbola x^(2)/16-y^(2)/25=1is

    Text Solution

    |

  17. The eccentricity of the ellipse

    Text Solution

    |

  18. Find the locus of a point whiich moves in such a way that the sum of i...

    Text Solution

    |

  19. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  20. An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high ...

    Text Solution

    |