Match The Followings
There are two circles given with \( C_{1}\left(O_{1}, r_{1}\right) \) and \( \mathrm{C}_{2}\left(\mathrm{O}_{2}, \mathrm{r}_{2}\right) \) where \( \mathrm{O}_{1}, \mathrm{O}_{2} \) represents the centres and \( r_{1}, r_{2} \) represents the radii of the circles \( C_{1}, C_{2} \) respectively.
(1) If \( \mathrm{O}_{1} \mathrm{O}_{2}=\mathrm{r}_{1}+\mathrm{r}_{2} \)
(A) Number of common tangents \( =4 \)
(2) If the length \( \mathrm{O}_{1} \mathrm{O}_{2} \)
(B) Number of common \( r_{1}+r_{2} \) tangents \( =2 \)
(3) If \( \mathrm{O}_{1} \mathrm{O}_{2}\mathrm{r}_{1}+\mathrm{r}_{2} \)
(C) Number of common tangents is 3
(4) If \( \mathrm{O}_{1} \mathrm{O}_{2}=\mathrm{r}_{1}-\mathrm{r}_{2} \)
(D) Number of common tangents \( =1 \)
a. 1-D, 2-A, 3-C, 4-B
b. 1-C, 2-A, 3-B, 4-D
c. 1-A, 2-C, 3-B, 4-D
d. 1-B, 2-D, 3-A, 4-C
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