Home
Class 12
MATHS
If b and c are the lengths of the segmen...

If b and c are the lengths of the segments of any focal chord of a parabola `y^2 = 4ax`, then the length of the semi-latus rectum is

A

`(b+c)/2`

B

`(bc)/(b+c)`

C

`(2bc)/(b+c)`

D

`sqrt(bc)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|1 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|5 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

If b and c are the lengths of the segments of any focal chord of a parabola y^(2)=4ax , then length of the semi-latus rectum is:

If b and c are lengths of the segments of any focal chord of the parabola y^(2)=4ax, then write the length of its latus rectum.

If a and c are lengths of segments of focal chord of the parabola y^(2)=2bx (b>0) then the a,b,c are in

If b and k are segments of a focal chord of the parabola y^(2)= 4ax , then k =

The Harmonic mean of the segments of a focal chord of the parabola y^(22)=4ax is

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

The harmonic mean of the segments of a focal chord of the parabola y^(2)=16ax, is

If t is the parameter for one end of a focal chord of the parabola y^(2)=4ax, then its length is

ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If the tangents at P and Q on a parabola meet in T, then SP, ST and SQ...

    Text Solution

    |

  2. The tangent at P to a parabola meets the tangents at the vertex A in Q...

    Text Solution

    |

  3. If b and c are the lengths of the segments of any focal chord of a par...

    Text Solution

    |

  4. If b,c are the segments of a focal chord of the parabola y^2 = 4ax, t...

    Text Solution

    |

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

    Text Solution

    |

  6. If PSQ is focal chord of the parabola y^2 = 8x such that SP=6, then th...

    Text Solution

    |

  7. If A1 B2 and A2 B2 are two focal chords of the parabola y^2 = 4ax the...

    Text Solution

    |

  8. If a focal chord of the parabola be at a distanced from the vertex, th...

    Text Solution

    |

  9. Tangents at the extremities of a focal chord of a parabola intersect o...

    Text Solution

    |

  10. A circle drawn on any focal AB of the parabola y^(2)=4ax as diameter c...

    Text Solution

    |

  11. The tangents at the points (at1^2,2at1), (at2^2, 2at2) on the parabola...

    Text Solution

    |

  12. If two tanents drawn from a point P to the parabola y^2 = 4x are at ri...

    Text Solution

    |

  13. If y+b=m1 (x+ a) and y+b=m2 (x+ a) are two tangents to the parabola y^...

    Text Solution

    |

  14. Any two perpendicular tangents to a parabola intersect on the

    Text Solution

    |

  15. A chord of the parabola y^2 = 4ax subtends a right angle at the verte...

    Text Solution

    |

  16. The angle between tangents to the parabola y^2 = 4ax at the point wher...

    Text Solution

    |

  17. If P(at1^2,2at1)and Q(at2^2,2at2) are two variablé points on the curv...

    Text Solution

    |

  18. If the point P(4, -2) is the one end of the focal chord PQ of the para...

    Text Solution

    |

  19. If (2,-8) is at an end of a focal chord of the parabola y^2 = 32x, the...

    Text Solution

    |

  20. The angle between the tangents drawn from the origin to the paraboala ...

    Text Solution

    |