A point P is allowed to travel in space. State the locus of P so that it always remains at a constant distance from a fixed point C.

Draw a straight line AB of length 8cm. Draw the locus of all points which are equidistant from A and B. Prove your statement.

Draw a line segment AB of length 12 cm. Mark M, the mid-point of AB. Draw and describe the locus of a point which is

(i) at a distance of 3 cm from AB.

(ii) at a distance of 5 cm from the point M.

Mark the points P, Q, R, S which satisfy both the above conditions. What kind of quadrilateral is PQRS ? Compute the area of quadrilateral PQRS.

AB and CD are two intersecting lines. Find the position of a point which is at a distance of 2 cm from AB and 1.6 cm from CD.