A) 8 cm
B) 7cm
C) 6 cm
D) 5 cm
Correct Answer: D
Solution :
(d): From figure, length of the transverse common tangent of these circles \[=\sqrt{{{(Distance\text{ }between\text{ }the\text{ }centres\text{ }of\text{ }circles)}^{2}}-{{\left( Sum\text{ }of\text{ }radius \right)}^{2}}}\] \[=\sqrt{{{13}^{2}}-{{\left( 7.5+4.5 \right)}^{2}}}\] \[=\sqrt{{{13}^{2}}-{{12}^{2}}}=\sqrt{25}=5\]cm
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