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) +ay +0`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 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

VMC MODULES ENGLISH-CIRCLES-LEVEL-2
  1. The equation of the circle and its chord are-respectively x^2 + y^2 =...

    Text Solution

    |

  2. Angle between tangents drawn to x^(2) +y^(2) -2x -4y +1=0 at the poin...

    Text Solution

    |

  3. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  4. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  7. A line is tangent to a circle if the length of perpendicular from the ...

    Text Solution

    |

  8. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  9. The locus of a point which moves such that the tangents from it to the...

    Text Solution

    |

  10. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. A variable circle always touches the line y =x and passes through th...

    Text Solution

    |

  13. If a circle passes through the points of intersection of the lines 2x-...

    Text Solution

    |

  14. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

    Text Solution

    |

  15. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  16. Find the range of values of m for which the line y=m x+2 cuts the circ...

    Text Solution

    |

  17. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  20. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

    Text Solution

    |