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
Expert Answer:
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,
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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