Home
Class 11
MATHS
Find the locus of the mid point of the c...

Find the locus of the mid point of the chord of the circle `x^2+y^2=a^2` which subtend a right angle at the point (0,0).

Text Solution

Verified by Experts

`x^2+y^2-px-qy +1/2(p^2+q^2-a^2)=0`
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

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

Find the locus of the midpoint of the chords of the parabola y^2=4ax .which subtend a right angle at the vertex.

The locus of the midpoints of chords of the circle x^(2) + y^(2) = 1 which subtends a right angle at the origin is

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

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

Find the locus of mid points of chords of the cirlce. x^(2)+y^(2)=a^(2) which subtend angle 90^(@) at the point (c,o).

Find the locus of middle points of chords of the ellipse x^2/a^2+y^2/b^2=1 which subtend right angles at its centre.

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.

Find the locus of mid points of chords of the cirlce. x^(2)+y^(2)=a^(2) which subtend angle 90^(@) at the centre of the circle.

Find the locus of the-mid points of the chords of the circle x^2 + y^2=16 , which are tangent to the hyperbola 9x^2-16y^2= 144

PATHFINDER-CIRCLE-QUESTION BANK
  1. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  2. If y = mx is the equation of a chord of the circle x^2+y^2-2ax=0 with ...

    Text Solution

    |

  3. Find the locus of the mid point of the chord of the circle x^2+y^2=a^2...

    Text Solution

    |

  4. Tangents are drawn to the circle x^2+y^2=4 from P(3,4) to touch it at ...

    Text Solution

    |

  5. Show that the common tangents to the circles x^2+y^2-6x=0 and x^2+y^2+...

    Text Solution

    |

  6. Two straight lines rotate about two fixed points. If they start from t...

    Text Solution

    |

  7. If two curves, whose equations are ax^2+2hxy+by^2+2gx+2fy+c=0 and a'x^...

    Text Solution

    |

  8. Find the equation of the circle of minimum radius which contains the t...

    Text Solution

    |

  9. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

    Text Solution

    |

  10. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  11. Let C be the circle with centre at (1, 1) and radius = 1. If T is the ...

    Text Solution

    |

  12. The circle passing through (1, - 2) and touching the axis of x at (3, ...

    Text Solution

    |

  13. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

    Text Solution

    |

  14. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

    Text Solution

    |

  15. A point moves so that the sum of squares of its distances from the poi...

    Text Solution

    |

  16. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

    Text Solution

    |

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

    Text Solution

    |

  18. The equations of the circles which touch both the axes and the line 4x...

    Text Solution

    |

  19. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  20. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |