Home
Class 12
MATHS
A chord AB of circle x^(2) +y^(2) =a^(2)...

A chord AB of circle `x^(2) +y^(2) =a^(2)` touches the circle `x^(2) +y^(2) - 2ax =0`.Locus of the point of intersection of tangens at A and B is `:`

A

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

B

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

C

`x^(2)=a(a-2y)`

D

`y^(2)=a(a-2x)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|2 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|6 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS) |10 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a ,then locus of point of intersection of tangents at A and C is a circle of radius lambda a , where lambda is

The tangents PA and PB are drawn from any point P of the circle x^(2)+y^(2)=2a^(2) to the circle x^(2)+y^(2)=a^(2) . The chord of contact AB on extending meets again the first circle at the points A' and B'. The locus of the point of intersection of tangents at A' and B' may be given as

Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such that AB=BC=a . M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle. The locus of the points of intersection of tangents at A and C is

The equation of the locus of the middle point of a chord of the circle x^(2)+y^(2)=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is x+y=2( b) x-y=22x-y=1( d ) none of these

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = 0 touch each other , then a =

Show that the circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches both the coordinate axes.

ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. A circle passes through the point (-1,7) and touches the line y = x at...

    Text Solution

    |

  2. The equation of a circle which has its centre on the positive side of ...

    Text Solution

    |

  3. The locus of the point of intersection of tangents to the circle x=a c...

    Text Solution

    |

  4. If the tangent from a point P to the circle x^(2)+y^(2) = 1 is perpen...

    Text Solution

    |

  5. The locus of the point of intersection of tangents to the circle x^(2)...

    Text Solution

    |

  6. The locus of the midpoint of the chord of the circle x^2 + y^2 =4 whic...

    Text Solution

    |

  7. If theta(1), theta(2) be the inclination of tangents with x-axis draw...

    Text Solution

    |

  8. Locus of a point from which perpendicular tangents can be drawn to the...

    Text Solution

    |

  9. Tangents are drawn from the point (17, 7) to the circle x^(2)+y^(2)=16...

    Text Solution

    |

  10. A chord AB of circle x^(2) +y^(2) =a^(2) touches the circle x^(2) +y^(...

    Text Solution

    |

  11. If the line x cos alpha+y sin alpha=p and the circle x^(2)+y^(2)=a^(2)...

    Text Solution

    |

  12. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

    Text Solution

    |

  13. The length of tangent from the point(1, 2) to the circle 2x^(2)+2y^(2...

    Text Solution

    |

  14. The area of the triangle formed by +ive x-axis and the normal and tang...

    Text Solution

    |

  15. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

    Text Solution

    |

  16. The circles x^(2)+y^(2)+2x-4y+4=0 and x^(2)+y^(2)-2x-4y+4=0 are such t...

    Text Solution

    |

  17. The length of the chord joining the points ( 4cos theta , 4 sin theta ...

    Text Solution

    |

  18. If the circle x^(2)+y^(2)+2gx+2fy+c=0 is touched by y=x at P such th...

    Text Solution

    |

  19. Two tangents OA and OB are drawn to the circle x^(2)+y^(2)+4x+6y+12=0 ...

    Text Solution

    |

  20. Tangents are drawn to the circle x^(2)+y^(2) = 25 from the point (13,...

    Text Solution

    |