Let the triangle PQR be the image of the triangle with vertices (1,3),(3,1) and (2,4) in the line x+2y=2. If the centroid of is the point ( , ), then 15( - ) is equal to :
(3) 22
The image of the centroid is the centroid of the image triangle, so reflect only G.
[figure]
G= (2, 83 ); for x+2y-2=0: ax1+by1+c= 163
-21= -8/32= -2(16/3)5=- 3215
=- 215, =- 2415 15( - )=22
Answer: (3)
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