Home
Class 11
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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 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 :

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

    Text Solution

    |

  2. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

    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 condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  5. Let the base A B of a triangle A B C be fixed and the vertex C lies...

    Text Solution

    |

  6. If the chord of contact of tangents from a point P to a given circle p...

    Text Solution

    |

  7. Statement : Points (1, 1), (2, 3), and (3, 5) are collinear.

    Text Solution

    |

  8. Statement 1 : The number of circles touching lines x+y=1,2x-y=5, and 3...

    Text Solution

    |

  9. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  10. The equation of the chord of the circle x^2+y^2-3x-4y-4=0 , which pas...

    Text Solution

    |

  11. A rhombus is inscribed in the region common to the two circles x^2+y^2...

    Text Solution

    |

  12. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

    Text Solution

    |

  13. Two congruent circles with centered at (2, 3) and (5, 6) which inter...

    Text Solution

    |

  14. The locus of the center of the circle such that the point (2,3) is t...

    Text Solution

    |

  15. The value of 'c' for which the set {(x,y)|x^2+y^2+2x le 1}nn{(x,y)|x-y...

    Text Solution

    |

  16. A circle of radius unity is centered at thet origin. Two particles tar...

    Text Solution

    |

  17. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  18. A circle is inscribed into a rhombous ABCD with one angle 60. The dist...

    Text Solution

    |

  19. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  20. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

    Text Solution

    |