Home
Class 12
MATHS
Find the condition that the circle (x-3)...

Find the condition that the circle `(x-3)^2+(y-4)^2=r^2` lies entirely within the circle `x^2+y^2=R^2` .

A

`R+rle7`

B

`R^(2)+r^(2)lt49`

C

`R^(2)-r^(2)lt25`

D

`R-rgt5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 5|17 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

If the circle (x-2) ^(2) + (y -3) ^(2)=a ^(2) lies entirely in the circle x ^(2) + y ^(2) =b ^(2), then

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

The length of the tangent from any point on the circle to the circle (x-3)^(2)+(y+2)^(2)=5r^(2) to the circle (x-3)^(2)+(y+2)^(2)=r^(2) is 4 units.Then the area between the circles is

Find the equation of the circle passing through the centre of the circle x^2 +y^2 -4x-6y=8 and being concentric with the circle x^2 +y^2 - 2x-8y=5 .

Find the point of intersection of the circle x^(2)+y^(2)-3x-4y+2=0 with the x -axis.

If the length of the tengent from any point on the circle x-3^2+y+2^2= 5r^2 to the circle x-3^2+y+2^2 = r^2 is 16 unit,then the area between the two circles in sq unit is

The parametric equation of the circle x^(2)+y^(2)=r^(2) are

The centre of the circle (x-a)^(2)+(y-3)^(2)=9 lies on the straight line x=y and the circle touches the circle x^(2)+y^(2)=1 externally.What are the values of alpha,beta?

If the chord of contact of the tangents from the point (alpha, beta) to the circle x^(2)+y^(2)=r_(1)^(2) is a tangent to the circle (x-a)^(2)+(y-b)^(2)=r_(2)^(2) , then

ARIHANT MATHS-CIRCLE -Exercise For Session 6
  1. The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^...

    Text Solution

    |

  2. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  3. If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within ...

    Text Solution

    |

  4. Find the condition that the circle (x-3)^2+(y-4)^2=r^2 lies entirely w...

    Text Solution

    |

  5. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

    Text Solution

    |

  6. Two circles of radii r(1) and r(2), r(1) gt r(2) ge2 touch each other ...

    Text Solution

    |

  7. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

    Text Solution

    |

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

    Text Solution

    |

  9. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  10. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  11. The equation of the diameter of the circle 3(x^(2)+y^(2))-2x+6x-9-0 wh...

    Text Solution

    |

  12. consider two curves ax^2+4xy+2y^2+x+y+5=0 and ax^2+6xy+5y^2+2x+3y+8=0 ...

    Text Solution

    |

  13. Find the equation of the circle passing throught (1,1) and the points ...

    Text Solution

    |

  14. Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2...

    Text Solution

    |

  15. Prove that the circles x^(2)+y^(2)+2ax+2ax+2by=0 and x^(2)+y^(2)+2a(1)...

    Text Solution

    |

  16. The point of intersection of common transverse tangents of two circles...

    Text Solution

    |