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Q.

If  2x2−5xy+2y2=0 represents two sides of a triangle whose centroid is (1, 1) then the equation of the third side is

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a

x+y-3=0

b

x-y-3=0

c

x+y+3=0

d

x-y+3=0

answer is A.

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Detailed Solution

a=2,2h=−5,b=2,(x1,y1)=(1,1)Equation of third side is S1=32S11axx1+h(xy1+x1y)+byy1=32(ax12+2hx1y1+by12)⇒x+y−3=0
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If  2x2−5xy+2y2=0 represents two sides of a triangle whose centroid is (1, 1) then the equation of the third side is