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. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

    Text Solution

    |

  2. The centres of a set of circleS each of radius 3 lies on the circle ...

    Text Solution

    |

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

    Text Solution

    |

  4. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

  5. If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...

    Text Solution

    |

  6. Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...

    Text Solution

    |

  7. Consider a family of circles which are passing through the point (-1, ...

    Text Solution

    |

  8. The point diametrically opposite to the point P (1, 0) on the circle x...

    Text Solution

    |

  9. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

    Text Solution

    |

  10. Three distinct points A, B and C are given in the 2 -dimensional coord...

    Text Solution

    |

  11. The circle x^2+y^2 =4x+8y+5 intersects the line 3x-4y=m at two distinc...

    Text Solution

    |

  12. The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other...

    Text Solution

    |

  13. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

    Text Solution

    |

  14. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

    Text Solution

    |

  15. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

    Text Solution

    |

  16. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  17. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  18. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  19. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

    Text Solution

    |

  20. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

    Text Solution

    |