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 3 a is

A

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

B

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

C

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

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

The equation of the 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)=9a^(2) b) x^(2)+y^(2)=16a^(2) c) x^(2)+y^(2)=4a^(2) d) x^(2)+y^(2)=a^(2)

The equation of circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is x^(2)+y^(2)=a^(2)x^(2)+y^(2)=4a^(2)x^(2)+y^(2)=16a^(2)x^(2)+y^(2)=9a^(2)

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

Find the equation of a circle with origin as centre and which circumscribes and equilateral triangle whose median ids of length 3a.

Origin is the centre of circle passing through the vertices of an equilateral triangle whose median is of length 3a then equation of the circle is

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  2. The centre of the circle passing through (0, 0) and (1, 0) and touchin...

    Text Solution

    |

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

    Text Solution

    |

  4. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |

  5. The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle having...

    Text Solution

    |

  6. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  7. A variable circle passes through the fixed A (p, q) and touches the x-...

    Text Solution

    |

  8. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle ...

    Text Solution

    |

  9. The intercept on the line y=x by the circle x^2+y^2-2x=0 is AB. Equat...

    Text Solution

    |

  10. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  11. If a circle passes through the point (a, b) and cuts the circle x^2 +y...

    Text Solution

    |

  12. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  13. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

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

    Text Solution

    |

  15. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

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

    Text Solution

    |

  17. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  18. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  19. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

    Text Solution

    |

  20. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |