Home
Class 12
MATHS
Show that length of perpendecular from f...

Show that length of perpendecular from focus 'S' of the parabola `y^(2)= 4ax` on the Tangent at P is `sqrt(OS.SP)`

A

`sqrt( OS. SP ) `

B

` OS. SP `

C

` OS+ OP `

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The focus of the parabola y^(2)-4y-8x-4=0 is

The subnormal of the parabola y^(2)=4ax is equal to

Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length of the perpendicular from the focus of the parabola onto this normal then 4k-2 p^(2) =

The locus of foot of perpendicular from the focus upon any tangent to the parabola y^(2) = 4ax is

Show that the shortest length of the normal chord to the parabola y^(2) = 4ax is 6sqrt(3a)

Focus of parabola y = ax^(2) + bx + c is

AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. Assertion (A) : The least length of the focal chord of y^(2) =4ax is...

    Text Solution

    |

  2. Assertion (A) : Orthocentre of the triangle formed by any three tangen...

    Text Solution

    |

  3. Show that length of perpendecular from focus 'S' of the parabola y^(2)...

    Text Solution

    |

  4. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

    Text Solution

    |

  5. Prove that the orthocentre of the triangle formed by any three tangent...

    Text Solution

    |

  6. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

    Text Solution

    |

  7. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

    Text Solution

    |

  8. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

    Text Solution

    |

  9. If two of the three feet of normals drawn from a point to the parabola...

    Text Solution

    |

  10. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

    Text Solution

    |

  11. The locus of middle points of normal chords of the parabola y^(2) = 4...

    Text Solution

    |

  12. If the normals at P and Q meet again on y^(2) =4ax at R then centro...

    Text Solution

    |

  13. If the normal to y^(2) =4ax at t1 cuts the parabola again at t2 th...

    Text Solution

    |

  14. Point of concurrence of the normals drawn at (2,8) , (128,64) , (162, ...

    Text Solution

    |

  15. If ( x1, y1) , (x2, y2) ,(x3y3) are feet of the three normals drawn f...

    Text Solution

    |

  16. If two normals drawn to the y^(2) =8x at ( 2,4) and (18, 12) intersec...

    Text Solution

    |

  17. If the normals at P and Q meet again on the parabola y^(2) =4ax then ...

    Text Solution

    |

  18. The shortest distance between the line y-x =1 and the curve x=y^2 is

    Text Solution

    |

  19. If the parabola y^(2)=ax passes through (1, 2) then the equation of th...

    Text Solution

    |

  20. A set of parallel chords of the parabola y^(2) =4ax have their mid-po...

    Text Solution

    |