Home
Class 11
MATHS
Area of the equilateral triangle inscrib...

Area of the equilateral triangle inscribed in circle `x^2+y^2 -7x+ 9y+5 =0` is:

A

`155/8 sqrt3` square units

B

`165/8 sqrt3` square units

C

`175/8 sqrt3` square units

D

`185/8 sqrt3` square units.

Text Solution

Verified by Experts

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

Find the area of the equilateral triangle that can be inscribed in the circle : x^2 + y^2- 4x + 6y -3=0 .

The area of the circle x^2 + y^2 = 9 is :

An equilateral triangle is inscribed in the parabola y^(2)=4ax whose vertex is at the vertex of the parabola .Find the length of its side.

The ratio of the area of triangle inscribed in ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 to that of triangle formed by the corresponding points on the auxiliary circle is 0.5. Then, find the eccentricity of the ellipse.

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 8x + 6y -5 = 0 and passing through the point (-2, -7).

If y_1, y_2, y_3 be the ordinates of a vertices of the triangle inscribed in a parabola y^2=4a x , then show that the area of the triangle is 1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot

The area of the circle x^2 + y^2 = 16 is :

a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One side of the square is parallel to y = x + 3, then one vertex of the square is :

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If the lines y= 3x + 1 and 2y = x + 3 are equally inclined to the line...

    Text Solution

    |

  2. The vertices of a triangle are (3, 0), (3, 3) and (0, 3). Then the coo...

    Text Solution

    |

  3. Area of the equilateral triangle inscribed in circle x^2+y^2 -7x+ 9y+5...

    Text Solution

    |

  4. The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =...

    Text Solution

    |

  5. If two chords having lengths a^2- 1 and 3 (a + 1), where a is a consta...

    Text Solution

    |

  6. The equation of the parabola having focus (3, 2) and vertex (1, 2), is...

    Text Solution

    |

  7. The sum of the distances of a point (2, -3) from the foci of an ellips...

    Text Solution

    |

  8. The equation of one of the tangents to x^2/3-y^2/2=1 which is parallel...

    Text Solution

    |

  9. If e1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e2 is eccentri...

    Text Solution

    |

  10. A line passes through point (2, 2) and perpendicular to the line 3x + ...

    Text Solution

    |

  11. If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight l...

    Text Solution

    |

  12. Points (3, 3), (h, 0), (0, k) are collinear and a/h+b/k=1/3. Then :

    Text Solution

    |

  13. sqrt 2009/3 (x^2-y^2)=1, then eccentricity of the hyperbola is :

    Text Solution

    |

  14. The value of k for which the line x+y+1=0 touches the parabola y^2 = 4...

    Text Solution

    |

  15. The eccentricity of the ellipse x^2/a^2+y^2/b^2=1, if its latus rectum...

    Text Solution

    |

  16. The angle between the tangents drawn from the origin to the parabola y...

    Text Solution

    |

  17. The angle between the lines 2x = 3y=-z and 12x=-2y=-8z is:

    Text Solution

    |

  18. The centres of 3 circles x^2+y^2 =1, x^2+y^2 +6x-2y=1, x^2+y^2-12x+4y=...

    Text Solution

    |

  19. If the lines 2x + 3y+1=0,3x-y-4=0 are diameters of a circle x^2+ y^2+ ...

    Text Solution

    |

  20. The equation of the circle, while touches the line x= y at origin and ...

    Text Solution

    |