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Q.

If (2,1),(−1,−2),(3,3)  are ,midpoints of sides BC,CA,AB  of ΔABC , then the equation of AB  is

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a

x−y=1/2

b

x+y=1

c

x−y=9

d

x=y

answer is D.

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Detailed Solution

Let D=2,1 ,E-1,-2, F3,3 are mid points of sides BC,CA,AB respectively therefore DE is parallel to side AB,   so AB slope= DE slope= 1,  ⇒ AB equation is y-1=1x-1⇒y=x
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