**Question 7:**Diagram below in the answer space shows a circle with centre

*O*drawn on a grid of equal squares with sides of 1 unit.

*POQ*is a diameter of the circle.

*W*,

*X*and

*Y*are three moving points inside the circle.

(a)

*W*is the point which moves such that it is constantly 4 units from the point

*O.*Describe fully the locus of

*W*.

(b) On the diagram, draw,

(i) the locus of the point

*X*which moves such that its distance is constantly 3 units from the line

*PQ*,

(ii) the locus of the point

*Y*which moves such that it is equidistant from the point

*P*and the point

*Q*.

(c) Hence, mark with the symbol $\otimes $ the intersection of the locus of

*X*and the locus of

*Y*.

*Answer***:**

(b)(i),(ii) and (c)

*Solution*:**(a)**The locus of

*W*is a circle with the centre

*O*and a radius of 4 units.

**(b)(i),(ii) and (c)**

**Question 8:**The diagram in the answer space shows two squares

*ABCD*and

*CDEF*each of sides 4 cm.

*K*is a point on the line

*CD*.

*W*,

*X*and

*Y*are three moving points in the diagram.

(a) Point

*W*moves such that it is always equidistant from the straight lines

*AB*and

*EF*. By using the letters in diagram, state the locus of

*W*.

(b) On the diagram, draw

(i) the locus

*X*such that it is always 2 cm from the straight line

*ACE*,

(ii) the locus of

*Y*such that

*KY*=

*KC*.

(c) Hence, mark with the symbol $\otimes $ the intersection of the locus of

*X*and the locus of

*Y*.

*Answer***:**

**(b)(i), (ii) and (c)**

*Solution*:**(a)**The locus of

*W*is the line

*CD*.

**(b)(i),(ii) and (c)**

**Question 9:**

Diagram below shows a Cartesian plane.

Draw the locus of

*X*,

*Y*and

*Z*.

(a)

*X*is a point which moves such that its distance is constantly 4 units from the origin.

(b)

*Y*is a point which moves such that it is always equidistant from point

*K*and point

*L*.

(c)

*Z*is a point which moves such that it is always equidistant from lines

*KM*and

*y-*axis

*.*

*Answer***:**

*Solution*: