Home
Class 11
MATHS
Find the area of an equilateral triangle...

Find the area of an equilateral triangle inscribed in the circle `x^2 + y^2 + 2gx + 2fy + c = 0`

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 .

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 4x + 6y - 3 = 0 .

The area (in sq. units) of an equilateral triangle inscribed in the circle x^(2) + y^(2) - 4x - 6y - 23 = 0 is -

if z_1, z_2, z_3 are the vertices pf an equilateral triangle inscribed in the circle absz=1 and z_1=i , then

The equation of the in-circle of an equilateral triangle is x^(2) + y^(2) + 2x - 4y - 8 = 0 , find the area of the equilateral triangle.

Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay + a^2 = 0 which makes with the coordinate axes a triangle of area a^2.

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with its vertex at one end of the major axis.

If the area of the circle is A_1 and the area of the regular pentagon inscribed in the circle is A_2, then find the ratio (A_1)/(A_2)dot

Find the length of the tangent drawn from any point on the circle x^2+y^2+2gx+2fy+c_1=0 to the circle x^2+y^2+2gx+2fy+c_2=0

The equation of in circle of an equilateral triangle is 2x^(2) + 2y^(2) + 3x - y - 5 = 0 . Find the area of the triangle.

PATHFINDER-CIRCLE-QUESTION BANK
  1. Find the equation of the circle whose centre is the point of intersect...

    Text Solution

    |

  2. A circle has radius 3 units and its centre lies on the line y = x - 1....

    Text Solution

    |

  3. Find the area of an equilateral triangle inscribed in the circle x^2 +...

    Text Solution

    |

  4. Find the equation of the circle which passes through the point (2, -2)...

    Text Solution

    |

  5. Find the equation of the circle whose diameter is the line joining the...

    Text Solution

    |

  6. A circle of radius 2 lies in the first quadrant and touches both the a...

    Text Solution

    |

  7. A circle of radius 5 units touches co-ordinates axes the first quadra...

    Text Solution

    |

  8. Find the length of tangents drawn from the point (3, -4) to the circle...

    Text Solution

    |

  9. The chord of contact of tangents drawn from a point on the circle x^2 ...

    Text Solution

    |

  10. Find the equation of the circle which touches the positive y-axis at a...

    Text Solution

    |

  11. Find the equation of the circle which passes through the origin and cu...

    Text Solution

    |

  12. Find the point(s) of intersection of the line 2x + 3y = 18 and the cir...

    Text Solution

    |

  13. Obtain the locus of the point of intersection of the tangent to the ci...

    Text Solution

    |

  14. A and B are two points in xy-plane, which are 2sqrt2 units distance ap...

    Text Solution

    |

  15. Two circles each of radius 5 units touch each at (1, 2) If the equati...

    Text Solution

    |

  16. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  17. Find the locus of the mid points of the chords of the circle x^2 + y^2...

    Text Solution

    |

  18. The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S =...

    Text Solution

    |

  19. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  20. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |