Question 163

The distance between the centres of the two circles of radii r1, and r2 is d. They will touch each other internally if

Solution

The distance between centres of two circles = d

Radius of both circles = $$r_1$$ and $$r_2$$

For the circles to touch each other internally,

Here, AC = $$r_1$$ and BC = $$r_2$$

Distance between their centres = AB = d

Now, clearly AB = AC - BC

=> d = $$r_1-r_2$$

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