Home
Class 12
MATHS
Let 'C' be the circle with centre (0,0 )...

Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equation of the locus of the mid points of chords of the circle 'C' that subtend an angle of `2pi//3` at its centre is:

A

`x^(2)+y^(2)=1`

B

`x^(2)+y^(2)=(27)/(4)`

C

`x^(2)+y^(2)=(9)/(4)`

D

`x^(2)+y^(2)=(3)/(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

The locus of the mid-points of chords of the circle x^2+y^2 =4 , which subtend a right angle at the origin, is:

Equation of circle with centre at (-4,3) and radius 4 is

The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 which subtends a right angle at the origin is

A circle touches the x - axis and also touches the circle with centre (0,3) and radius 2. The locus of the centre of the circle is :

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to :

Find the length of the chord of a circle of radius 8 cm which subtends a right angle at the centre.

State true or false . The mid point of any diameter of a circle is the centre.

Find the equation of the circle with centre at (0,0) and radius r .

Area of the circle in which a chord of length sqrt2 makes an angle pi/2 at the centre,

The line y=x is a tangtnt at (0,0) to a circle of radius unity. The centre of the circle is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. A circle touches the x - axis and also touches the circle with centre ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. How many common tangents can be drawn to the following circles x^(2)+...

    Text Solution

    |

  19. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

    Text Solution

    |

  20. A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through t...

    Text Solution

    |