My hospital, school and residence is located in the coordinates H (2, 1), S(–2, 3)
and R (4, 5) respectively.
(i) Find the coordinates of the mid way point (M) between school and hospital.
(ii) Find equation of the new straight road to be constructed , connecting the residence
( R) to this mid way point(M).
(iii) Find the slope of the road perpendicular to the above new road .
(iv) The distance of my friend’s house from the residence is twice the distance of
my friend’s house from the mid way(M). Find the coordinates of my friends
house(F).
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