Home
Class 12
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.

A

`x^(2) + y^(2) - ax = 0`

B

`x^(2) + y^(2) + ax = 0`

C

`x^(2) + y^(2) + ax = 0`

D

`x^(2) + y^(2) -ax -a y =0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 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

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. The equation of circle passing through the point (1, 1) and point of i...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  4. Obtain the equation of the circle orthogonal to both the circles x^2+y...

    Text Solution

    |

  5. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  6. If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the ...

    Text Solution

    |

  7. The locus of the center of the circle which touches the circle x^(2)+y...

    Text Solution

    |

  8. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

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

    Text Solution

    |

  10. If the chord of contact of the tangents drawn from a point on the ci...

    Text Solution

    |

  11. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  12. A circle of constant radius 2r passes through the origin and meets the...

    Text Solution

    |

  13. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  14. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

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

    Text Solution

    |

  16. Tangents OP and OQ are drawn from the origin o to the circle x^2 ...

    Text Solution

    |

  17. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

  18. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  19. Area of a circle in which a chord of length sqrt2 makes an angle (pi)/...

    Text Solution

    |

  20. If 3x + b(1)y + 5 =0 and 4x + b(2)y + 10 = 0 cut the x-axis and y-axis...

    Text Solution

    |