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:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/09/Picture110-1.png)
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
(a)(i), (ii) and (b)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/09/Picture107-2.png)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/09/Picture107-2.png)
Solution:
(a)(i), (ii) and (b)![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/09/Picture110-1.png)
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:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/01/Picture117.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/01/Picture118.png)
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.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/01/Picture117.png)
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/01/Picture118.png)