Apps. and Interpretation for IBDP Maths Ebook 1 | Page 100

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Chapter
10
Coordinate Geometry
SUMMARY POINTs
� Consider the points P( x1, y
1)
and Q( x2, y
2)
on a x - y plane:
y � y
m � : Slope of PQ
x � x
1.
2 1
2.
2 1
d � ( x � x ) � ( y � y ) : Distance between P and Q
3.
1 2 1 2
2 2
2 1 2 1
� x � x ,
y �
�
y
� 2 2
�
�: Mid-point of PQ
�
� Consider the points P( x1, y1, z
1)
and Q( x2, y2, z
2)
on a x - y - z plane:
1. z -axis: The axis perpendicular to the x - y plane
2.
d � ( x � x ) � ( y � y ) � ( z � z ) : Distance between P and Q
2 2 2
2 1 2 1 2 1
� x � x , y � y ,
z �
�
z
� 2 2 2
3.
1 2 1 2 1 2
�
�: Mid-point of PQ
�
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