Mathematics

A point P moves in such a way that it is at a distance less than or equal to 5 cm from a fixed point O. The locus of point P is :

  1. a circle with radius 5 cm.

  2. a circle with OP as radius.

  3. a circle with diameter of 10 cm.

  4. a circle of radius 5 cm and the fixed point O as its center.

Locus

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Answer

Steps of construction :

  1. Draw a circle of radius 5 cm and center O.
A point P moves in such a way that it is at a distance less than or equal to 5 cm from a fixed point O. The locus of point P is : Loci, Concise Mathematics Solutions ICSE Class 10.

From figure,

Any point on the circumference f the circle is at a distance 5 cm and any point inside the circle will be less than 5 cm.

Hence, Option 4 is the correct option.

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