MCQ
The two circles ${x^2} + {y^2} - 4y = 0$ and ${x^2} + {y^2} - 8y = 0$
- ✓Touch each other internally
- BTouch each other externally
- CDo not touch each other
- DNone of these
✓
Answer
Correct option: A.
Touch each other internally
a
(a) ${r_1} = 2$; ${r_2} = 4$
(a) ${r_1} = 2$; ${r_2} = 4$
${C_1}{C_2} = 2$
$\because \;{r_2} - {r_1} = {C_1}{C_2}$
$\therefore $ Circle touches internally.
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