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Samba

· started a discussion

· 1 Months ago

error (Question: 232452.0 )

ans is
l=2root(Rr)

Question:

Two circle with radii R and r touch each other externally. A direct common tangent with length l is drawn to the circles. Which is true? 

Options:
A)

l = R2 + r2 

B)

l = R2 – r2

C)

l = 2\(\sqrt[]{Rr}\)

D)

l = 3 R2 r2

Solution:

Ans: (c) Length of direct common tangent l2 = d2 – (R – r)2

Here, d = R + r

Therefore, l2 = (R + r)2 – (R – r)2  = 4Rr

l = 2\(\sqrt[]{Rr}\)

Knowledge Expert

· commented

· 1 Months ago

Dear student
We resolved it

Best wishes
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