Question 138

If two circles have radii 16 cm and 7 cm and the distance between their centers is 4 cm. then the number of commontangents. that can be drawn to the two circles is

Solution

The difference between radii of both the circles = 16 - 7 = 9 cm

Since, the difference between radii of both the circles is more than the difference between their centers. This means that the smaller circle will be completely inside the bigger circle there will be no contact point. 

Since, there is no contact point of both the circle which means there will be no common tangent of both the circle.


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