Home
Class 12
MATHS
Show that the locus of the foot of the p...

Show that the locus of the foot of the perpendicular from the focus to the tangent of the parabola

Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 I.|14 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE -3.1 II.|5 Videos

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 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

Show that the locus of the feet of the perpendiculars drawn from the foci to any tangent of the ellipse is the auxiliary circle

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

Show that the locus of the foot of the perpendicular drawn from centre on any tangent to the ellipse b^2x^2+a^2y^2=a^2b^2 is the curve (x^2+y^2)^2=a^2x^2+b^2y^2

Find the locus of the foot of the perpendicular from the orign to a variable straighht line which always passes through the fixed point (a,b) .

AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Show that the locus of point of intersection of perpendicular tangents...

    Text Solution

    |

  2. show that the common tangent to the parabola y^(2)=4ax "and" x^(2)=4b...

    Text Solution

    |

  3. Show that the locus of the foot of the perpendicular from the focus to...

    Text Solution

    |

  4. Find the condition for the line y=mx+c to be a tangent to the parabola...

    Text Solution

    |

  5. If a chord of lhe parabola y^(2) = 4ax touches the parabola y^(2) = 4b...

    Text Solution

    |

  6. Prove that two parabolas y(2)=4ax "and" x^(2)=4by intersect (other tha...

    Text Solution

    |

  7. Prove that the point on the parabola y^(2) = 4ax (a gt0) nearest to th...

    Text Solution

    |

  8. Prove that the locus of point of intersection of two perpendicular nor...

    Text Solution

    |

  9. If ((1)/(2),2) is one extermity of a focalchord of the parabola y^(2)=...

    Text Solution

    |

  10. Two parabolas have the same vertex and equal lengh of latus rectum su...

    Text Solution

    |

  11. Prove that the portion or the tangent intercepted,between the point of...

    Text Solution

    |

  12. Prove that the circle on a focal radius of a parabola, as diameter tou...

    Text Solution

    |

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

    Text Solution

    |

  14. The conic represented by 2x^(2) -12xy +23y^(2) -4x -28y -48 =0 is

    Text Solution

    |

  15. Find the conic represented by the equation sqrt( ax) + sqrt( by) = 1?

    Text Solution

    |

  16. If the equation x^(2) - y^(2) - 2x+2y+lambda =0 represents a degenerat...

    Text Solution

    |

  17. If the equation x^(2) + y^(2) - 2x -2y+ c=0 represents an empty set th...

    Text Solution

    |

  18. If the equation of conic 2x^(2) + xy+3y^(2) - 3x+ 5y + lambda =0 repre...

    Text Solution

    |

  19. For what value of lambda the equation of conic 2xy+4x-6y+ lambda=0 rep...

    Text Solution

    |

  20. Find the centre of the conic 14x^(2) - 4xy + 11y^(2) - 44x - 58y +71=0

    Text Solution

    |