Home
Class 11
MATHS
For any a in R, then locus x ^(2) + y^...

For any `a in R,` then locus
`x ^(2) + y^(2) - 2ay + a ^(2) =0` touches the line

A

`x=y`

B

` x=0`

C

`x+y=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos
  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|75 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

For any lambda in R, the locus x^(2)+y^(2)-2 lambda x-2 lambda y+lambda^(2)=0 touches the line

The circle (x-r) ^(2) + (y-r) ^(2) =r ^(2) touches

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

A line intersects x-axis at A(2, 0) and y-axis at B(0, 4) . A variable lines PQ which is perpendicular to AB intersects x-axis at P and y-axis at Q . AQ and BP intersect at R . The locus of R and the circle x^2 + y^2 - 8y - 4 = 0 (A) touch each other internally (B) touche the given circle externally (C) intersect in two distinct points (D) neither intersect nor touch each other

The locus of the centre of the circle which cuts the circle x^(2)+y^(2)-20x+4=0 orthogonally and touches the line x=2 is

If line 3x - y + c = 0 touches circle x^(2) + y^(2) - 2x + 8y - 23 =0 , then c =

The locus of the point of intersection of the tangents at the extremities of a chord of the circle x^(2)+y^(2)=r^(2) which touches the circle x^(2)+y^(2)+2rx=0 is

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  2. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  3. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |

  4. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

    Text Solution

    |

  5. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

    Text Solution

    |

  6. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

    Text Solution

    |

  7. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

    Text Solution

    |

  8. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  9. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

    Text Solution

    |

  10. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

    Text Solution

    |

  11. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

    Text Solution

    |

  12. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

    Text Solution

    |

  13. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

    Text Solution

    |

  14. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

    Text Solution

    |

  15. The equation of a parabola which passes through the point of intersect...

    Text Solution

    |

  16. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

    Text Solution

    |

  17. The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16...

    Text Solution

    |

  18. A bar of given length moves with its extremities on two fixed strai...

    Text Solution

    |

  19. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  20. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |