Ex. 4. The radil of two circles are...
Question

# Ex. 4. The radil of two circles are 5cm and 3cm, the distance between their centre is 24 cm. Then the length of the transverse common tangent is (1) 16 cm (2) 15.2 cm (3) 16.2 cm (4) 15 cm SSC CGL (Tier-1) 2012

11th - 12th Class
Maths
Solution
58
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Sol. (3) Transverse common tangent ( =sqrt{d^{2}-left(r_{1}+r_{2}right)^{2}}=sqrt{(24)^{2}-(5+3)^{2}} ) ( =sqrt{576-64}=sqrt{512}=16 sqrt{2} mathrm{cm} )