Let be a fixed point in the plane.

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Let OO be a fixed point in the plane. (i) Two circles with centre OO and radii 4 cm4\,\text{cm} and 7 cm7\,\text{cm} are drawn. Show that these two circles have no point in common. (ii) Generalise the result obtained in part (i) for any two circles having the same centre but unequal radii.

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