Find the lengths of external and internal common tangents and also find the angle…

MATHEMATICS · Subjective · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Find the lengths of external and internal common tangents and also find the angle between external common tangents and internal common tangents of the circles common tangents of the circles x2+y2+2x−8y+13=0 and x2+y2−8x−2y+8=0.x^2 + y^2 + 2x - 8y + 13 = 0 \text{ and } x^2 + y^2 - 8x - 2y + 8 = 0.

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