8.2.4 Loci in Two Dimensions, PT3 Focus Practice


Question 7:
Diagram in the answer space below shows a polygon. X and Y are two moving points in the polygon.

(a) On the diagram, draw
(i) the locus of the point X such that XQ = XR.
(ii) the locus of the point Y such that YQ = QR.

(b) Hence, mark with the symbol the intersection of the locus of X and the locus of Y.  

Answer:
(a)(i), (ii) and (b)




Solution:
(a)(i), (ii) and (b)







Question 8:
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:


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