Home
Class 12
MATHS
An equilateral triangle is Inscribed in ...

An equilateral triangle is Inscribed in parabola `y^(2) = 4ax` whose one vertex is at origin then length of side of triangle

A

`6sqrt(3a)`

B

`8sqrt(3a)`

C

`4sqrt(a)`

D

`2sqrt(3)a`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

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

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 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 area of an equilateral triangle inscribed in the parabola y^(2) = 4ax with one vertex is at the origin is 48 sqrt(3)a^(2) sq. units .

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

If an equilateral Delta is inscribed in a parabola y^(2) = 12x with one of the vertex is at the vertex of the parabola then its height is

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

AAKASH SERIES-PARABOLA-PRACTICE EXERCISE
  1. If the vertex of the parabola y = x^(2)-8x+c lies on x-axis then the v...

    Text Solution

    |

  2. A ray of light moving parallel to x-axis gets reflected from a parabol...

    Text Solution

    |

  3. An equilateral triangle is Inscribed in parabola y^(2) = 4ax whose one...

    Text Solution

    |

  4. Angle made by double ordinate of length 24 of the parabola y^(2)= 12x ...

    Text Solution

    |

  5. Length of the double ordinateof the parabola y^(2) = 4x, at a distance...

    Text Solution

    |

  6. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

    Text Solution

    |

  7. The equation of the tangent to the parabola y^(2)=4x at the end of the...

    Text Solution

    |

  8. Point on the parabola y^(2)=8x the tangent at which makes an angle (pi...

    Text Solution

    |

  9. Equation of common tangent to y^(2)=32x and x^(2)=108 y is

    Text Solution

    |

  10. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

    Text Solution

    |

  11. Find the angle between tangents drawn from P(2, 3) to the parabola y^(...

    Text Solution

    |

  12. Angle between tangents drawn from (0,-a) to parabola x^(2) =4ay is

    Text Solution

    |

  13. The angle between the tangents to the parabola y^(2)=4ax at the points...

    Text Solution

    |

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

    Text Solution

    |

  15. The locus of point of intersection of tangents to y^(2)=4ax which incl...

    Text Solution

    |

  16. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

    Text Solution

    |

  17. The locus of midpoints of chords of the parabola y^(2)=4ax which are ...

    Text Solution

    |

  18. If(a, b) is midpoint of a chord passing through the vertex of the para...

    Text Solution

    |

  19. The locus of the midpoints of the focal chords of the parabola y^(2)=6...

    Text Solution

    |

  20. If the slope of focal chord of y^(2) = 16x is 2 then the length of the...

    Text Solution

    |