SSC CPO SI and ASI 2015 Paper

Question : 144 of 199

Marks: +1, -0

Two circles with their centres at O and P and radii 8 cm and 4 cm respectively, touch each other externally. The length of their common tangent is

Solution:

(3)

AB is the common tangent.Draw a perpendicular PQ on AO,such that, PQ = AB.
Now, inΔOPQ,

A B=P Q=\√{12^{2}-4^{2}}

=\√{128}=8 \√{2} \ {cm}

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