Two Circles Touch Externally at a point C. AB is a common tangent to both of these circles. Find the angle ACB.
Asked by Vaibhav Tomar | 3rd Feb, 2014, 12:39: AM
Let C1 and C2 be the two circles with centres P and Q respectively.
AB is a common tangent to both the circles at C.
Since AB is a tangent to C1,
Similarly, AB is a tangent to C2,
Thus adding the above two angles, we have
Since AB is perpendicular to the line joining the centres,
Answered by | 3rd Apr, 2014, 12:55: PM
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