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Two circles with radii R and r touch each other externally. A direct common tangent with length l is drawn to the circles. Which is true?
  • a)
    l = R2 + r2
  • b)
    l = R2 – r2
  • c)
  • d)
    l = 3 R2 r2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two circles with radii R and r touch each other externally. A direct ...
Length of direct common tangent l2 = d2 – (R – r)2
Here, d = R + r
Therefore, l2 = (R + r)2 – (R – r)2 = 4Rr
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Two circles with radii R and r touch each other externally. A direct common tangent with length l is drawn to the circles. Which is true?a)l = R2 + r2b)l = R2 – r2c)d)l = 3 R2 r2Correct answer is option 'C'. Can you explain this answer?
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