Home
Class 12
MATHS
If the circles x^(2)+y^(2)=a^(2), x^(2)+...

If the circles `x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0` touch externally then a=

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 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

Show that the circles x^(2)+y^(2)-2x=0 and x^(2)+y^(2)+6x-6y+2=0 touch each other. Find the coordinates of the point of contact. Is the point of contact external of internal?

Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 touch each other and find the point of contact.

If the circle x^(2) +y^(2) -6x -8y+( 25-a^(2) ) =0 touches the axis of x, then a equals.

Show that the circles x^(2) + y^(2) -6x -2y + 1=0 , x ^(2) + y^(2) + 2x -8y + 13 =0 touch each other find the point of contact and the equation of the common tangent at their point of contact.

The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally then k=

AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. Read of the following two statements I: sqrt(3)x-y+4=0 is tangent to...

    Text Solution

    |

  2. The number of parameters of the equation ax^(2)+ay^(2)+2fy+c=0 is

    Text Solution

    |

  3. If the circles x^(2)+y^(2)=a^(2), x^(2)+y^(2)-6x-8y+9=0 touch external...

    Text Solution

    |

  4. The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=...

    Text Solution

    |

  5. The equation to the circle whose radius is 3 and which touches interna...

    Text Solution

    |

  6. A circle of radius 2 units rolls inside the ring of the circle x^(2)+y...

    Text Solution

    |

  7. If 4y=x +7 is a diameter of the circumscribing circle of the rectangle...

    Text Solution

    |

  8. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  9. The area (in sq units) of the triangle formed by the tangent, normal a...

    Text Solution

    |

  10. The area of the triangle formed with coordinate axes and the tangent a...

    Text Solution

    |

  11. The area of the triangle formed by the tangents from (1,3) to the circ...

    Text Solution

    |

  12. The area of an equilateral triangle inscribed in the circle x^(2)+y^(2...

    Text Solution

    |

  13. A right angled isoceles triangle is inscribed in the circle x^(2)+y^(2...

    Text Solution

    |

  14. Observed the following statements I: The intercepts of the circle x^...

    Text Solution

    |

  15. The polar of p with respect to a circle s=x^(2)+y^(2)+2gx+2fy+c=0 with...

    Text Solution

    |

  16. Given that p(x(1),y(1)) is interior point of the circle S=x^(2)+y^(2)+...

    Text Solution

    |

  17. The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distin...

    Text Solution

    |

  18. The locus of the point (2+3cos theta, 1+3 sin theta) when theta is par...

    Text Solution

    |

  19. The coordinate of the point on the circle (x-1)^(2)+(y+2)^(2)=9 having...

    Text Solution

    |

  20. The parametric equation of the circle x^(2)+y^(2)+8x-6y=0 are

    Text Solution

    |