Home
Class 11
MATHS
A variable chord is drawn through the or...

A variable chord is drawn through the origin to the circle `x^2+y^2-2a x=0` . Find the locus of the center of the circle drawn on this chord as diameter.

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

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

If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0 , then the locus of the mid point of the chord has equation

How many chords can be drawn through 21 points on a circle?

y=2x be a chord of the circle x^(2) +y^(2)=20x . Find the equation of a circle whose diameter is this chord.

The radical centre of the circles drawn on the focal chords of y^(2)=4ax as diameters, is

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

Find the length of the chord x+ 2y = 5 of the circle whose equation is x^(2) + y^(2) = 9 . Determine also the equation of the circle described on the chord as diameter.

If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8=0 , find the equation of the circle having as diameter.

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

From origin chords are drawn to the cirlce x^(2)+y^(2)-2px=0 then locus of midpoints of all such chords is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |

  2. Find the circle of minimum radius which passes through the point (4, 3...

    Text Solution

    |

  3. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  4. The radius of the tangent circle that can be drawn to pass through the...

    Text Solution

    |

  5. Find the equation of the chord of the circle x^2+y^2=a^2 passing throu...

    Text Solution

    |

  6. The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 15...

    Text Solution

    |

  7. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

    Text Solution

    |

  8. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  9. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  10. Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay +...

    Text Solution

    |

  11. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  12. Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 ...

    Text Solution

    |

  13. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

    Text Solution

    |

  14. In triangle A B C , the equation of side B C is x-y=0. The circumcente...

    Text Solution

    |

  15. Let a and b represent the lengths of a right triangles legs. If d is t...

    Text Solution

    |

  16. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

    Text Solution

    |

  17. (6,0),(0,6),a n d(7,7) are the vertices of a A B C . The incircle of ...

    Text Solution

    |

  18. If O is the origin and O Pa n dO Q are the tangents from the origin to...

    Text Solution

    |

  19. The range of values of r for which the point (-5+r/sqrt(2),-3+r/sqrt...

    Text Solution

    |

  20. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |