Home
Class 12
MATHS
If Q is the foot of the perpendicular fr...

If Q is the foot of the perpendicular from a point p on the parabola `y^(2)=8(x-3)` to its directrix. S is an equilateral triangle then find the lengh of side of the triangle.

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

If M is the foot of the perpendicular from a point P on a parabola to its directix and SPM is an equilateral triangle where S is the focus then SP=

If 2sqrt3 is the inradius of an equilateral triangle then the length of its side is

Find he foot of the perpendicular from (2,3) to the line 4x-5y+8=0 .

Draw an equilateral triangle whose sides are 3.8 cm.

An equilateral is inscribed in the parabola y^(2)=8x with one of its vertices is the vertex of the parabola. Then the length of the side of that triangle is

A point P is inside an equilateral triangle. If the distances of P from sides 8, 10, 12 then length of the side of the triangle is

AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Find the equation of parabola whose focus is (-3,0) and directrix is...

    Text Solution

    |

  2. If Q is the foot of the perpendicular from a point p on the parabola y...

    Text Solution

    |

  3. Find the equation of the parabola whose focus is S (3,5) and vertex is...

    Text Solution

    |

  4. L and L are the ends of the latus rectum of the parabola x^(2)=6y. The...

    Text Solution

    |

  5. Find the equation of the parabola whose axis is parallel to Y-axis and...

    Text Solution

    |

  6. Find the coordinate of' the vertex and focus and the equations of the ...

    Text Solution

    |

  7. The cable of a unformely loaded suspension bridge hangs in the form of...

    Text Solution

    |

  8. If x+y-1 = 0 touches the parabola y^(2) = kx the value of k is

    Text Solution

    |

  9. The point of contact of 2x-y+2 =0 to the parabola y^(2)=4ax is

    Text Solution

    |

  10. The equation of the tangent to the parabola y^(2)=8x and which is para...

    Text Solution

    |

  11. Find the equaton of normal to the parabola y^(2)= 4ax at the end of...

    Text Solution

    |

  12. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

    Text Solution

    |

  13. Find the equations of the langents to lhe parabola y^(2) = 9x and whic...

    Text Solution

    |

  14. The locus of the point of intersection of two tangents to the parabola...

    Text Solution

    |

  15. The normals from (P, 0) are drawn to the para bolo y^(2) = 8x-, one of...

    Text Solution

    |

  16. Show that the locus of point of intersection of perpendicular tangents...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |