Locus of a point which is at a distance of 3 cm from the point O in the given diagram is:

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Solution

The correct option is A
We know that locus of a point which is equidistant from a fixed point is a circle. Hence the locus of a point which is at a distance of 3 cm from O is a circle of radius 3 cm with centre as O.

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Similar questions

Describe:

(i) The locus of points at distances less than 3 cm from a given point.

(ii) The locus of points at distances greater than 4 cm from a given point.

(iii) The locus of points at distances less than 2.5 cm from a given point.

(iv) The locus of points at distances greater than or equal to 35 mm cm from a given point.

(v) The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it.

(vi) The locus of the centres of all circles that are tangent to both the arms of a given angle.

(vii) The locus of the mid-points of all chords parallel to a given chord of a circle.

(viii) The locus of points within a circle that are equidistant from the end points of a given chord.

Describe the locus for questions 1 to 13 given below:

The locus of a point in space, which is always at a distance of 4 cm from a fixed point.

(2, 3)

r

A (x_{1}, y_{1})

(x - x_{1})^{2} + (y - y_{1})^{2} = r^{2}

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