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Question: Answered & Verified by Expert
A circle of radius 2 units is touching both the axes and a circle with centre at (6, 5). The distance between their centers is
MathematicsCircleJEE Main
Options:
  • A 8 units
  • B 5 units
  • C 7 units
  • D None of these
Solution:
1780 Upvotes Verified Answer
The correct answer is: 5 units
Radius of smaller circle is r=2 units (given)

Since, it is touching both the axes, so its centre is (2, 2)



The distance between their centers

=r+R= 5-22+6-22

= 32+42= 25=5 units

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