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

An equilateral triangle is inscribed in the parabola `y^(2)=4ax` whose vertex is at the vertex of the parabola .Find the length of its side.

Text Solution

Verified by Experts

The correct Answer is:
`8asqrt3`
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise JEE type solved examples|1 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|20 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

An equilateral trinalge is inscribed in the parabola y^2 = -8x , where one vertex is at the vertex of the parabola. Find the length of the side of the tringle.

An equilateral triangle is inscribed in the parabola y^2=4ax whose vertex is at of the parabola. Find the length of its side.

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

Area of the equilateral triangle inscribed in the parabola y^2 = 4x , having one vertex at the vertex of the parabola is (A) 48 sq. untis (B) 48sqrt(3) sq. units (C) 16sqrt(3) sq. untis (D) none of these

An Equilateral traingles are circumscribed to the parabola y^2=4ax whose vertex is at parabola find length of its side

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

An equilateral triangle is inscribed in the parabola y^2=4a x , such that one vertex of this triangle coincides with the vertex of the parabola. Then find the side length of this triangle.

The triangle PQR of area 'A' is inscribed in the parabola y^2=4ax such that the vertex P lies at the vertex pf the parabola and base QR is a focal chord.The modulus of the difference of the ordinates of the points Q and R is :

An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax having it's focus at S. If chord lies towards the left of S, then the side length of this triangle is

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. An equilateral triangle is inscribed in the parabola y^(2)=4ax whose v...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  4. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

    Text Solution

    |

  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  14. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |

  21. about to only mathematics

    Text Solution

    |