Home
Class 12
MATHS
The circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 t...

The circle `x^(2)+y^(2)-2ax-2ay+a^(2)=0` touches axes of co ordinates at

A

(a,a),(0,0)

B

(a,0),(0,0)

C

(a,0),(0,a)

D

(0,a),(1,a)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos
  • CIRCLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|47 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The polar of (-a,-2a) w.r.t the circle x^(2)+y^(2)-2ax-3a^(2)=0 touches the parabola

Find the area of the triangle formed by the normal at (3,-4) to the circle x^(2) +y^(2) -22x - 4y + 25 = 0 with the co-ordinate axes.

A square is inscribed in the circle x^(2)+y^(2)-4x+6y-5=0 whose sides are parallel to co-ordinate axes then vetices of square are

The circle x^(2) +y^(2) -6x -10 y +k=0 does not touch (or ) Intersects the coordinate axes and the point (1,4) lies inside the circle then limits of k are.

Show that the circles x^(2)+y^(2)+2ax+c=0 and x^(2)+y^(2)+2by+c=0 touch each other if 1/(a^(2))+1/(b^(2))=1/c

The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0 may touch each other is

A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its sides are parallel to coordinate axes then vertices of square are

Find the area of the triangle formed by the tangent at P(x_(1), y_(1)) to the circle x^(2) +y^(2) = a^(2) with co-ordinate axes where x_(1), y_(1) ne 0 .

AAKASH SERIES-CIRCLES-EXERCISE -I
  1. The circle 4x^(2)+4y^(2)-12x-12y+9=0

    Text Solution

    |

  2. The equation of the circle of radius 5 and touching the coordinate axe...

    Text Solution

    |

  3. The circle x^(2)+y^(2)-2ax-2ay+a^(2)=0 touches axes of co ordinates at

    Text Solution

    |

  4. If the line x+3y=0 is tangent at (0,0) to the circle of radius 1, then...

    Text Solution

    |

  5. The y-intercept of the circle x^(2)+y^(2)+4x+8y-5=0 is

    Text Solution

    |

  6. In intercept made by the circle with centre (2,3) and radius 6 on y-ax...

    Text Solution

    |

  7. The intercept made by the circle x^(2)+y^(2)+4x-8y+c=0 on x-axis is 2s...

    Text Solution

    |

  8. The centre of the circle passing through origin and making intercepts ...

    Text Solution

    |

  9. If x^(2)+y^(2)-4x-6y+k=0 touches x-axis then k=

    Text Solution

    |

  10. Statement I: The circle with the points of intersectionof the line 3x+...

    Text Solution

    |

  11. Parametric equation of the circle x^(2)+y^(2)=16 are

    Text Solution

    |

  12. The parametric equations of the circle x^(2)+y^(2)+2x+4y-11=0 are

    Text Solution

    |

  13. If x=3+2cos theta, y=5+2sin theta then the locus of the point (x,y) is...

    Text Solution

    |

  14. Locus of the point (sec h theta, tan h theta) is

    Text Solution

    |

  15. Locus of the point (cos theta +sin theta, cos theta - sin theta) where...

    Text Solution

    |

  16. To the circle x^(2)+y^(2)-8x-4y+4=0 tangent at the point theta=(pi)/4 ...

    Text Solution

    |

  17. The normal at theta of the circle x^(2)+y^(2)=a^(2) is

    Text Solution

    |

  18. The chord of contact of (2,1) w.r.t to the circle x^(2)+y^(2)+4x+4y+1=...

    Text Solution

    |

  19. The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4...

    Text Solution

    |

  20. Find the inverse point of (-2,3) with respect to the circle x^(2)+y^(2...

    Text Solution

    |