The two circles and

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The two circles x2+y2=axx^2+y^2=ax and x2+y2=c2x^2+y^2=c^2, where c>0c>0, touch each other if: (1) ∣a∣=c|a|=c (2) a=2ca=2c (3) ∣a∣=2c|a|=2c (4) 2∣a∣=c2|a|=c

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