Question:
A circle of radius 2 is touching both the axes and a circle with centre (6, 5). The distance between their centres is
A circle of radius 2 is touching both the axes and a circle with centre (6, 5). The distance between their centres is
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Circle touching both axes → centre always (r, r).
Updated On: Apr 23, 2026
- 8 units
- 5 units
- 7 units
- None of these
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The Correct Option is B
Solution and Explanation
Concept:
Circle touching both axes
Step 1: Centre of such circle = (r, r) = (2, 2).
Step 2: Distance between centres: \[ \sqrt{(6-2)^2 + (5-2)^2} \]
Step 3: \[ = \sqrt{16 + 9} = \sqrt{25} = 5 \] Conclusion:
Distance = 5 units
Step 1: Centre of such circle = (r, r) = (2, 2).
Step 2: Distance between centres: \[ \sqrt{(6-2)^2 + (5-2)^2} \]
Step 3: \[ = \sqrt{16 + 9} = \sqrt{25} = 5 \] Conclusion:
Distance = 5 units
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