Home
Class 12
MATHS
The locus of the midpoint of a chord of ...

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

`x+y=1`

B

`x+y=2`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|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:

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

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:

Find the equation of that chord of the circle x^2 + y^2 = 15, which is bisected at the point (3,2)

Locus of the middle points of parallel chords of a parabola x^(2)=4ay is a

The chord of the circle x^(2)+y^(2)-y^(2)-4x=0 which is bisected at (1,0) is perpendicular to the line

The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 intercepted by y -axis is

In the given figure, a chord AB of the circle with centre O and radius 10 cm, that subtends a right angle at the centre of the circle. Find the area of the minor segment AQBP. Hence find the area of major segment A angle lBQA.

The length of the chord of the circle x^(2) + y^(2) + 3x + 2y -8 = 0 intercepted by the y-axis is

The equation of the chord of the circle x^(2)+y^(2)-2 x-4 y-20=0 whose mid point is (1,3) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2009-MATHEMATICS
  1. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  2. The smallest positive integral value of n such that [(1+"sin"pi/8+i"co...

    Text Solution

    |

  3. Which one of the following is possible?

    Text Solution

    |

  4. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  5. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

    Text Solution

    |

  6. A cow is tied to a post by a rope. The cow moves along the circular pa...

    Text Solution

    |

  7. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  8. The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 whi...

    Text Solution

    |

  9. The length of the chord joining the points (4 cos theta, 4 sin theta) ...

    Text Solution

    |

  10. The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)...

    Text Solution

    |

  11. The co ordinates of the cenre of the smallest circle passing through t...

    Text Solution

    |

  12. The length of the diameter of the circle which cuts three circles x...

    Text Solution

    |

  13. For the parabola y^(2)=4x the point P whose focal distance is 17 is

    Text Solution

    |

  14. The angle between the tangents drawn to the parabola y^(2)=12x from th...

    Text Solution

    |

  15. The number of values oif c such that the line y=4x+c touches the curve...

    Text Solution

    |

  16. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  17. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  18. The vertices of triangle ar (6,0),(0,6) and (6,6). The distance betwee...

    Text Solution

    |

  19. The angle between the pair of lines x^(2)+2xy-y^(2)=0 is

    Text Solution

    |

  20. lim(n to oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |