If two circles of radii 35 cm and 25 cm touch each other externally, then the length (in cm) of a common tangent is (Rounded off to 2 decimal places)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 59.16.
As seen from the figure
PQ is the common tangent
Also, PQCB is a rectangle
Hence, PQ = CB
AP - CP = AC
We know that CP = BQ = 25 cm
⇒ 35 - 25 = 10 = AC
Using the Pythagoras theorem
AB2 = AC2 + CB2
602 = 102 + CB2
CB = √3500 = 59.16
Hence, CB = PQ = 59.16 cm