SSS2 Maths Lesson 17 Examination – Algebraic Processes Part (4)- (Gradients of straight lines and curves)

Draw a circle with a radius of 5 cm and mark a fixed point B on its circumference. Point P can take any position on the circumference, and Q is the midpoint of side BP. For various positions of P, plot the corresponding positions of Q. Hence, find the locus of Q.

Describe the locus of the tip of the minute hand of a clock as it moves for one hour.

PQR is a scalene triangle. Describe the locus of points inside the triangle that are equidistant from PQ and PR.

A number of circles are drawn so that they touch a fixed line at a fixed point. What is the locus of the centers of the circles?

Describe the locus of a point that is always 3 cm away from a fixed point A.

Two intersecting lines L1 and L2 are given. Describe the locus of a point that is equidistant from L1 and L2.

A ladder of length 5 meters leans against a vertical wall. The foot of the ladder is on horizontal ground and can slide away from the wall. Describe the locus of the midpoint of the ladder.

A goat is tied to a corner of a square field of side 10 meters with a rope of length 8 meters. Describe the locus of the area the goat can graze.

A circle with center O and radius 5 cm is given. A chord AB of length 8 cm is drawn. Find the locus of the midpoints of all chords parallel to AB.

A point P moves so that its distance from a fixed point A is always twice its distance from another fixed point B. Describe the locus of P.