CBSE 2025 · Region 4 · Set 1 · Q14 · 1 mark
In the adjoining figure, AB is the chord of the larger circle touching the smaller circle. The centre of both the circles is O . If $\displaystyle \mathrm{AB}=2 r$ and $\displaystyle \mathrm{OP}=r$, then the radius of larger circle is :

Official answer
From CBSE’s own marking scheme for this paper.
(D)
$\displaystyle \sqrt{2} r$
CirclesTangent to a CircleApplymcqmedium
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.