Home
Class 12
MATHS
Two vertices of an equilateral trianglt ...

Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its third vertex is above the `x` -axis. The equation of its circum circle is

A

`x^(2)+y^(2)+(2)/(sqrt(3)) x-1=0`

B

`x^(2)+y^(2)-(2)/(sqrt(3)) x-1=0`

C

`x^(2)+y^(2)+(2)/(sqrt(3)) y-1lt0`

D

`x^(2)+y^(2)-(2)/(sqrt(3)) y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

If the centroid of an equilateral triangle is (1, 1) and its one vertex is (-1, 2), then the equation of the circumcentre is :

If two vertices of an equilateral triangle have integral co-ordinates, then the third vertex will have :

The vertices of a triangle are (0, 0), (3, 0) and (0, 4). Its orthocentre is at:

If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocentre lies at the origin, then the co-ordinates of third vertex are:

If(0, 6) and (0,3) are respectively the vertex & focus of a parabola then its equation is

If (0,4) and (0,2) are respectively the vertex and focus of a parabola, then its equation is

The centroid of the triangle is (2,7) and two of its vertices are (4,8) and (-2,6) and third vertex is

One vertex of the equilateral triangle with centroid at the origin and one side as x+y-2=0 is :

The area of a triangle is 5 square units. Two of its vertices are (2,1) and (3,-2) and the third vertex lies on y = x + 3, find the third vertex.

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The locus of the centre of a circle which touches externally the cir...

    Text Solution

    |

  2. The chord of contact of the pair of tangents drawn from each point on ...

    Text Solution

    |

  3. Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its t...

    Text Solution

    |

  4. The length of the tangtnt from (0,0) to the circle 2x^(2)+2y^(2)+x-y+...

    Text Solution

    |

  5. Consider the circleS, x^(2)+(y-1)^(2)=9 (x-1)^(2)+y^(2)=25 . These ...

    Text Solution

    |

  6. The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)...

    Text Solution

    |

  7. The radical centre of the three circleS deseribed on the three sides ...

    Text Solution

    |

  8. The circle, which passes through the origin and whose centre lies on t...

    Text Solution

    |

  9. The equation of the circle described on the common chord of the circ...

    Text Solution

    |

  10. The equation of the circle which touches the lines x=0, y=0 and x=c(c...

    Text Solution

    |

  11. The centre and radius of the circle with the segment of the line x+y=...

    Text Solution

    |

  12. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

    Text Solution

    |

  13. Given that for the circle x^(2)+y^(2)-4 x+6 y+1=0 the line with equat...

    Text Solution

    |

  14. The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is a...

    Text Solution

    |

  15. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  16. The equation of a circle with centre (4,1) and having 3 x+4 y-1=0 as ...

    Text Solution

    |

  17. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

    Text Solution

    |

  18. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

    Text Solution

    |

  19. The centre of the circle touching the y -axis at (0,3) and making an ...

    Text Solution

    |

  20. A variablt circle passes through the fixed point (2,0) and touches th...

    Text Solution

    |