GATE ME 2016 Set 2 — Question 63
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
For the situation shown in the figure below the expression for in terms of , and is

Correct answer
(D) H = (R + r) + √(2D(R + r) - D²)
Solution
Let the centers of the circles be (radius ) and (radius ). From the geometry shown in the figure:
- The center of the larger circle is .
- The center of the smaller circle is .
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