Question
Find the length of the direct common tangent of two
circles with radii 8 cm and 5 cm respectively, if the distance between their centres is 11 cm.Solution
ATQ,
Direct common tangent = √[(distance between centres)² − (difference of radii)²]
= √[11² − (8 − 5)²]
= √[121 − 9] = √112 = 4√7 cm
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