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Question

Locus of a point which is at a distance of 2 cm from a circle of radius 8 cm are the concentric circles of radii .

A
5 cm and 11 cm
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B
4 cm and 12 cm
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C
6 cm and 10 cm
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D
7 cm and 9 cm
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Solution

The correct option is C 6 cm and 10 cm

Locus is the path traced by a moving point, which moves so as to satisfy the certain given condition/conditions.

Here the given circle is of radius 8 cm. The locus of a point which is at a distance of 2 cm from this circle can be:-

  • a circle of radius = 8 - 2 = 6 cm
  • a circle of radius = 8 + 2 = 10 cm

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