The circles whose equations are Irl2 - 2r· (i + 2j) - 4 = 0 and...

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Advance Math

The circles whose equations are Irl2 - 2r· (i + 2j) - 4 = 0and Irl2 + 2r· (4i - 2j) + 6 = 0, intersect at the points A and B.Find
(a) the equation of the line AB, (b) the position vectors of Aand B, (c) the equation of the circle through the origin and thepoints A and B, state its radius and the position vector of itscentre.

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