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 origins is (a) `x+y=2` (b) `x^2+y^2=1` `x^2+y^2=2` (d) `x+y=1`

A

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

B

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

C

`x+y=1`

D

`x+y=2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The locus of the midpoint of a chord of the circle x^2+y^2=4 which subtends a right angle at the origins is (a) x+y=2 (b) x^2+y^2=1 (c) x^2+y^2=2 (d) x+y=1

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (c ,0)dot

Locus of midpoint of chord of circle x^(2)+y^(2)=1 which subtend right angle at (2,-1) is

Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-by=0 which subtend a right angle at the point (a/2 ,b/2)dot is

The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4y - 11=0 which subtends an angle of 60^@ at center is

The locus of the midpoints of the chords of the circle x^2+y^2-a x-b y=0 which subtend a right angle at (a/2, b/2) is (a) a x+b y=0 (b) a x+b y=a^2+b^2 (c) x^2+y^2-a x-b y+(a^2+b^2)/8=0 (d) x^2+y^2-a x-b y-(a^2+b^2)/8=0

The locus of the midpoint of the chord of the circle x^(2)+y^(2)-2x-2y-2=0 which makes an angle of 120^(@) at the centre is

Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2y=0 , which makes an angle of 120^0 at the center.

The locus of mid-points of the chords of the circle x^2 - 2x + y^2 - 2y + 1 = 0 which are of unit length is :

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. The locus of the centre of the circles which touches both the axes is ...

    Text Solution

    |

  2. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. The line ax+by+by+c=0 is normal to the circle x^(2)+y^(2)+2gx+2fy+d=0...

    Text Solution

    |

  5. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

    Text Solution

    |

  6. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  7. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  8. The equation of the circle which touches the axes of coordinates an...

    Text Solution

    |

  9. The circle x^(2)+y^(2)+4x-7y+12=0 cuts an intercept on Y-axis is of le...

    Text Solution

    |

  10. The shortest distance from the point (2,-7) to thwe circe x^(2)+y^(2)-...

    Text Solution

    |

  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  12. Prove that the length of the common chord of the two circles : (x-a)...

    Text Solution

    |

  13. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  14. Show that the circles x^(2) + y^(2) + 2 x -6 y + 9 = 0 and x^(2) +y^(2...

    Text Solution

    |

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

    Text Solution

    |

  16. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  17. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  19. If the line y = mx - (m-1) cuts the circle x^2+y^2=4 at two real and d...

    Text Solution

    |

  20. The length of the chord of the circle x^(2)+y^(2)=9 passing through (...

    Text Solution

    |