Home
Class 12
MATHS
The equation of a circle with origin as ...

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is:

A

`x^(2)+y^(2)=9 a^(2)`

B

`x^(2)+y^(2)=16 a^(2)`

C

`x^(2)+y^(2)=4 a^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

Find the equations of circle with centre at (1,2) and passing through (4,6)

The equation of circle having centre at (2,2) and passes through the point (4,5) is

Draw an equilateral triangle whose sides are 5.2 cm. each

The equation of the circle touching the y -axis at the origin and passing through (b, c) is

Find the equation of the circle with centre at (1,-2) and passing through the centre of the circle x^2+y^2-4x+1=0

The area of the circle centred at (1, 2) and passing through (4,6) is :

Equation of the circle with centre on the y-axis and pussing through the origin und the point (2, 3) is :

Equation of a circle which passes through (3, 6) and touches the axes is:

The equation of the circle having centre (1, 2) and passing through the point of intersection of the lines: 3x+y=14 and 2x+5y=18 is :

The equation of the circle whose radius is 5 and which passes throngh the points on x -axis at distance 3 from the origin is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. Equation of a circle which passes through (3, 6) and touches the axes ...

    Text Solution

    |

  2. Equation of the circle with centre on the y-axis and pussing through t...

    Text Solution

    |

  3. The equation of a circle with origin as centre and passing through the...

    Text Solution

    |

  4. The equation of the circle described on the line joining the points (-...

    Text Solution

    |

  5. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  6. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  7. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  8. Given that the circleS x^(2)+y^(2)-2 x+6 y+6=0 and x^(2)+y^(2)-5 x+6 ...

    Text Solution

    |

  9. The locus of the centre of the circle which cuts the circles x^(2)...

    Text Solution

    |

  10. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  11. The radius of the circle 16 x^(2)+16 y^(2)-8 x+32 y-256=0 is

    Text Solution

    |

  12. The length of the intercept that a circle x^(2)+y^(2)+10 x-6 y+9=0 ma...

    Text Solution

    |

  13. The radius of the circle 3 x(x-2)+3 y(y+1)=4 is

    Text Solution

    |

  14. The equation of the tangtnt to the circle x^(2)+y^(2)+2 g x+2 f y+c=0...

    Text Solution

    |

  15. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  16. The equation of the circle circumscribing the triangle formed by the ...

    Text Solution

    |

  17. The circle x^(2)+y^(2)-8 x+4 y+4=0

    Text Solution

    |

  18. The equation of the circle passing through the points (1, 0) and (0, 1...

    Text Solution

    |

  19. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  20. The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

    Text Solution

    |