Home
Class 11
MATHS
Two vertices of an equilateral triangle ...

Two vertices of an equilateral triangle are (0, 0) and `(0,2 sqrt3)`. Find the third vertex.

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos
  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

The ends of the hypotenuse of a right angled triangle are (6, 0) and (0, 6). Find the locus of the third vertex.

Show that the following sets of points are the vertices of an equilateral triangle :- (0,0), (5, 5sqrt3) and (-5,5sqrt3) .

Show that the following sets of points are the vertices of an equilateral triangle :- (1, 1),(- 1,-1) and (-sqrt3,sqrt3) .

Two vertices of a triangle are (-1, 4) and (5, 2). If its centroid is (0, -3), find the third vertex.

Show that the following sets of points are the vertices of an equilateral triangle :- (a,a) , (-a ,-a) and (sqrt3a, -sqrt3a) .

The area of an equilateral triangle with side 2 sqrt3 cm is :

The vertices of a family of triangles have integer co-ordinates. If two of the vertices of all the triangles are (0, 0) and (6, 8), then the least value of areas of the triangles is :

Vertices of a triangle are (-1, 3), (2, -1), (0, 0). Find its orthocentre.

A vertex of an equilateral triangle is (2,3) and the opposite side is x+y=2. Find the equations of other sides.

If three verticles of a rectangle are (0,0), (2, 0), and (0, 3), find the coordinates of the fourth vertex?

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Two vertices of an equilateral triangle are (0, 0) and (0,2 sqrt3). Fi...

    Text Solution

    |

  2. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  3. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  4. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  5. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  6. Determine whether the following represents a circle, a point or no cir...

    Text Solution

    |

  7. Write the co-ordinates of the centre of the circle : 2x^2 + 2y^2-6x+8y...

    Text Solution

    |

  8. Find the equations of the following circle : Centre (0, 2) and radiu...

    Text Solution

    |

  9. In each of the following find the equation of the circle with centre (...

    Text Solution

    |

  10. Find the equation of the circle with Centre (-2,3) and radius 4

    Text Solution

    |

  11. Find the equations of the following circle : Centre (1,1) and radius...

    Text Solution

    |

  12. Find the equations of the following circle : Centre (1/2,1/2) and ra...

    Text Solution

    |

  13. Find the equations of the following circle : Centre (- a, -b) and ra...

    Text Solution

    |

  14. The centre and radius of the circle x^2+(y-1)^2=2 are

    Text Solution

    |

  15. Find the centre and radius of the circle : (x + 5)^2 + (y- 3)^2 = 36...

    Text Solution

    |

  16. Find the centre and radius of the circle : (x-1/2)^2+ (y+ 1/3)^2 =1/...

    Text Solution

    |

  17. Find the centre and radius of the circle : x^2 + y^2+ 8x + 10y- 8 =0...

    Text Solution

    |

  18. Find the centre and radius of the circle : x^2 + y^2- 4x- 8y- 45 = 0...

    Text Solution

    |

  19. Find the centre and radius of the circle : x^2 + y^2- 8x+ 10y- 12 = ...

    Text Solution

    |

  20. Find the centre and radius of the circle : 2x^2 + 2y^2- x=0.

    Text Solution

    |

  21. Show that the equation : Ax^2 + Ay^2 + Dx + Ey + F=0 represents a circ...

    Text Solution

    |