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+y=2`

B

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

C

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

D

`x+y=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 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 :

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  2. If AB is a diameter of a circle and C is any point on the circle, then...

    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 point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |

  5. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  6. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

    Text Solution

    |

  7. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  8. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  9. The equation of a circle which passes through (2a, 0) and whose radica...

    Text Solution

    |

  10. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  11. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |

  12. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  13. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

    Text Solution

    |

  14. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

    Text Solution

    |

  15. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  16. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  17. Equation of the circle through the origin and making intercepts of 3 a...

    Text Solution

    |

  18. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

    Text Solution

    |

  19. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

    Text Solution

    |

  20. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

    Text Solution

    |