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 SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 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 -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Length of the common chord of the circles (x -1) ^(2) + (y + 1)^(2) ...

    Text Solution

    |

  2. If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area...

    Text Solution

    |

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

    Text Solution

    |

  4. The circles x ^(2) + y ^(2) -10 x + 16=0 and x ^(2) + y ^(2) =r ^(2) i...

    Text Solution

    |

  5. A line is drawn through the point P(3,11) to cut the circle x^(2)+y^(2...

    Text Solution

    |

  6. If the line x cos alpha + y sin alpha = p represents the common chod A...

    Text Solution

    |

  7. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

    Text Solution

    |

  8. If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the ...

    Text Solution

    |

  9. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

    Text Solution

    |

  10. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  11. An isosceles triangle is inscribed in the circle x ^(2) + y ^(2) - 6x ...

    Text Solution

    |

  12. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  13. The centre of the circle whose radius is 5 and which touches the circl...

    Text Solution

    |

  14. A point moves such that the sum of the squares of its distances from t...

    Text Solution

    |

  15. Equation of a circle with centre (-4,3) touching internally and contai...

    Text Solution

    |

  16. The equations of the tangents drawn from the origin to the circle x^2 ...

    Text Solution

    |

  17. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  18. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

  19. If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...

    Text Solution

    |

  20. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |