Home
Class 11
MATHS
The equation of the locus of the mid-poi...

The equation of the locus of the mid-points of chords of the circle `4x^2 + 4y^2-12x + 4y +1= 0` that subtends an angle of `(2pi)/3` at its centre is `x^2 + y^2-kx + y +31/16=0` then k is

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-12=0 which subtends of angle of pi/3 radians at its centre is

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

The locus of the mid-points of the chords of the circle x^(2)+y^(2)+2x-2y-2=0 which make an angle of 90^(@) at the centre is

Find the locus of the mid points of the chords of the circle x^2 + y^2 -2x -6y - 10 = 0 which pass through the origin.

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 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 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).

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

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).

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

    Text Solution

    |

  2. The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equ...

    Text Solution

    |

  3. The equation of the locus of the mid-points of chords of the circle 4...

    Text Solution

    |

  4. The chords of contact of the pair of tangents drawn from each point on...

    Text Solution

    |

  5. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  6. Let a given line L1 intersect the X and Y axes at P and Q respectively...

    Text Solution

    |

  7. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |

  8. On the line segment joining (1, 0) and (3, 0) , an equilateral triangl...

    Text Solution

    |

  9. From a point R(5,8) , two tangents R Pa n dR Q are drawn to a given ci...

    Text Solution

    |

  10. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  11. Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that the ...

    Text Solution

    |

  12. If r1and r2 are the radii of smallest and largest circles which passes...

    Text Solution

    |

  13. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

    Text Solution

    |

  14. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

    Text Solution

    |

  15. The minimum radius of the circle which is orthogonal with both the c...

    Text Solution

    |

  16. If a circle of radius r is touching the lines x^2-4x y+y^2=0 in the ...

    Text Solution

    |

  17. Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a fa...

    Text Solution

    |

  18. Two circles of radii a and b touching each other externally, are inscr...

    Text Solution

    |

  19. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

    Text Solution

    |

  20. Let a circle be given by 2x(x-a)+y(2y-b)=0,(a!=0,b!=0) . Find the cond...

    Text Solution

    |