Home
Class 12
MATHS
The tangent at 't' on the parabola y^(2)...

The tangent at 't' on the parabola `y^(2) =4ax` is parallel to a normal chord then distance between them is

A

`(asqrt( 1+t^2))/( t^(2))`

B

` (a( 1+ t^(2) ) ^(3//2) )/( t^(2) ) `

C

` (a^(2) ( 1+t^(2) ) ^(3//2))/( t) `

D

` ( a( 1+t^(2))^(3//2) ) /( t) `

Text Solution

Verified by Experts

The correct Answer is:
B
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 polar of (a,0) w.r.t the parabola y^(2)=4ax is

If the chord joining t_(1) and t_(2) on the parabola y^(2) = 4ax is a focal chord then

Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a)

The equation of the tangent to the parabola y^(2) = 4x at the point t is

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a= 0 is

AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If the angular bisectors of the coordinates axes cut the parabola y^(2...

    Text Solution

    |

  19. If the straight line y=mx+c is parallel to the axis of the parabola y^...

    Text Solution

    |

  20. The set of point on the axis of the parabola y^(2) -2y -4x + 5=0 from ...

    Text Solution

    |