There are two points A and B in a plane such that the distance AB is 5units. Find the number of lines which is/are 2units from point A and 3units from point B.
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Construct a circle taking A as center and radius 2units.. And also a circle taking B as center and radius 3units. Now we can generally prove that there will be only 3 common tangents to the circles and no other line will be possible other than that which will satisfy such relation