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Question
State True or False.
In the given figure, common tangents AB and CD to the two circles with centre O1 and O2 intersect at E. Then AB = CD .
State True or False.
In the given figure, common tangents AB and CD to the two circles with centre O1 and O2 intersect at E. Then AB = CD .
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Solution
We know that the tangents to a circle from an external point are equal.
Therefore AE = CE and
BE = DE
Adding the two we get
AE + BE = CE + DE
AB = CD
We know that the tangents to a circle from an external point are equal.
Therefore AE = CE and
BE = DE
Adding the two we get
AE + BE = CE + DE
AB = CD
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