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Question -

The common tangents AB and CD to two circles with centres O and O’ intersect at E between their centres. Prove that the points O, E and O’ are collinear. [NCERT Exemplar]



Answer -

Joint AO, OC and O’D, O’B
Now, in ∆EO’D and ∆EO’B
O’D = O’B [radius]
O’E = O’E [common side]
ED = EB

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