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

Two vertices of an equilateral triangle are `(-1,0)` and (1, 0), and its third vertex lies above the x-axis. The equation of its circumcircel is ____________

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If two vertices of an equilateral triangle are (1,1) and (-1,-1) then the third vertex may be

Two vertices of an equilateral triangle are (0, 0) and (0,2 sqrt(3)) . Find the third vertex

If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), find the third vertex.

If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), find the third vertex.

Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Find the third vertex if the length of the equal sides is 3.

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

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

The vertices of a triangle are (1, 0), (4, 0) and (4, 4). Its area is :

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

Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre is at the origin,. Find the coordinates of its third vertex.

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

    Text Solution

    |

  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  3. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  4. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  5. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

    Text Solution

    |

  6. The circle S(1) with centre C(1) ( a(1), b(1)) and radius r(1) touche...

    Text Solution

    |

  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  13. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  16. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |

  17. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  18. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  19. The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...

    Text Solution

    |

  20. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

    Text Solution

    |