A circle C_1 of radius 2 touches both x -axis | vedclass

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Question

$\mathrm{OA}^{2}=2 \mathrm{r}^{2}=(\mathrm{OC}+\mathrm{CA})^{2}$

$2 r^{2}=O C^{2}+C A^{2}+2 . O C \cdot C A$

$2 r^{2}=8+(r+2)^{2}+2.2 \sqrt{2}(r

Vedclass · Accepted Answer

$6 + 4 \sqrt 2$

Vedclass · Answer

$\mathrm{OA}^{2}=2 \mathrm{r}^{2}=(\mathrm{OC}+\mathrm{CA})^{2}$

$2 r^{2}=O C^{2}+C A^{2}+2 . O C \cdot C A$

$2 r^{2}=8+(r+2)^{2}+2.2 \sqrt{2}(r+2)$

By solving this eq.

$r=6+4 \sqrt{2}$

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