Question
Download Solution PDFFind the number of common tangents, if r1 + r2 = C1C2. (With usual notations, r1 & r2 and C1 & C2 are the radii and centres of the two circles.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
As the expression given is C1C2 = r1 + r2
C1C2 represents the distance between the centers of the circles.
r1 represents the radius of the first circle
r2 represents the radius of the second circle.
C1C2 = r1 + r2 represents that the distance between the centers of the circle is equal to the sum of the radius, which means the circle touches each other externally.
When the circle touches each other externally then there are only three tangents are possible.
i.e. two direct common tangents and one transverse tangent.
∴ The correct answer is Option 3.
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