Home
Class 12
MATHS
If two vertices of an equilateral triang...

If two vertices of an equilateral triangle are A ( -a,0) and B( a,0 ) , `a gt0 ` and the third vertex C lies above x-axis , then the equation of the circumcircle of `Delta ABC ` is

A

`3x^(2) +3y^(2) -2sqrt3ay =3a^(2) `

B

` 3x^(2) +3y^(2) -2ay=3a^(2) `

C

` x^(2) +y^(2) -2ay =a^(2) `

D

` x^(2) +y^(2) -sqrt3 ay = a^(2) `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

If one vertex of an equilateral triangle of side a lies at the origin and the other lies on the line x=sqrt(3)y then the third vertex is

If the vertices of a triangle A, B, C are A(0, 0), B(2, 1), C(9, -2) then cosB =

If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then its third vertex is

Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of the triangle is the origin, then the third vertex is

If (2, 4), (2, 6) are two vertices of an equilateral triangle then the third vertex is

The equation of two altitudes of an equilateral triangle are sqrt3x - y + 8 - 4 sqrt3 = 0 and sqrt3x + y - 12 - 4 sqrt3 = 0 . The equation of the third altitude is

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

The ends of the hypertenuse of right angled triangle are ( 0 , 6 ) , (6, 0 ) . The locus of the third vertex is

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. If two vertices of an equilateral triangle are A ( -a,0) and B( a,0 ) ...

    Text Solution

    |

  2. If the lines (x+1)/(2) =(y-1)/( 1) =(z+1)/(3) and (x+2)/(2) =( y-k)/...

    Text Solution

    |

  3. Let Q be the foot the perpendicular from the origin to the plane 4x-3y...

    Text Solution

    |

  4. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  5. If the lines L1 and L2 in space are defined by L1 = {x=sqrt lambda y+...

    Text Solution

    |

  6. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  7. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  8. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  9. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  10. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  11. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  12. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  13. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  14. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  15. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  17. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  18. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

  19. The angle between the lines 2x =3y =-z and -6x =y =-4z is

    Text Solution

    |

  20. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  21. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |