Home
Class 12
MATHS
An equilateral triangle is inscribed in ...

An equilateral triangle is inscribed in the circle `x^(2)+y^(2)=a^(2)`. The length of the side of the triangle is

A

`asqrt2`

B

`asqrt3`

C

2a

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B(Circle-Line)|142 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1C(Pole, Polar)|107 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

Similar Questions

Explore conceptually related problems

A right angled isosceles triangle is inscribed in the circle x^(2)+y^(2)-4x-2y-=0 then length of the side of the triangle is

If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4y+5=0 then its side is

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

A circle is inscribed ina n equilateral triangle and a square is inscribed in the circle. The ratio of the area of the triangle to the area of the square is

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

A point P is inside an equilateral triangle. If the distances of P from sides 8, 10, 12 then length of the side of the triangle is

DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
  1. If the base of a triangle and the ratio of the lengths of the other tw...

    Text Solution

    |

  2. The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2...

    Text Solution

    |

  3. An equilateral triangle is inscribed in the circle x^(2)+y^(2)=a^(2). ...

    Text Solution

    |

  4. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

    Text Solution

    |

  5. A circle of radius r passes through the origin and meets the axes at A...

    Text Solution

    |

  6. A=(cos theta, sin theta) and B=(sin theta,-cos theta) are two points. ...

    Text Solution

    |

  7. The equation of the circle which passes through the origin and cuts of...

    Text Solution

    |

  8. The equation of the circle concentric with x^(2)+y^(2)-2x+8y-23=0 and ...

    Text Solution

    |

  9. The equation of the circle concentric with x^(2)+y^(2)-6x+4y-3=0 and h...

    Text Solution

    |

  10. The equation of the circle concentric with the circle x^(2)+y^(2)-6x+1...

    Text Solution

    |

  11. The equation of the circle passing through the points of intersection ...

    Text Solution

    |

  12. The equation of the circle passing through (0,0), (0,a), (a,0) is

    Text Solution

    |

  13. The equation of the circle passing through the points (1, 1),(2,-1),(3...

    Text Solution

    |

  14. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

    Text Solution

    |

  15. The centre of the circle passing through the points (a,b),(a,-b),(a+b,...

    Text Solution

    |

  16. The points (1, 1), (- 6, 0), (-2, 2). (-2,-8) are

    Text Solution

    |

  17. If the points (2, 3), (0, 2), (4, 5) and (0, t) are concyche, then t=

    Text Solution

    |

  18. The points (2k, 3k), (1, 0), (0, 1) and (0, 0) lie on a circle for

    Text Solution

    |

  19. If (m(1),1//m(1)), i=1,2,3,4 are concyclic points, then the value of m...

    Text Solution

    |

  20. The equation of the circle passing through the points (4, 1), (6, 5) a...

    Text Solution

    |