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Q.

If Ax1,y1,Bx2,y2,Cx3,y3 are the vertices of a triangle, then the equationxy1x1y11x2y21 +xy1x1y11x3y31 =0represents

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a

the altitude throught A

b

the perpendicular bisector of side BC

c

the median through A

d

None of these

answer is C.

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Detailed Solution

The given equation becomesxy1x1y11x2+x3y2+y32=0⇒xy1x1y11x2+x32y2+y321=0It is the equation of the line passing through A and mid point of BC.
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If Ax1,y1,Bx2,y2,Cx3,y3 are the vertices of a triangle, then the equationxy1x1y11x2y21 +xy1x1y11x3y31 =0represents