JEE Main & Advanced
AIEEE Paper (Held On 11 May 2011)
question_answer
lf A(2,-3) and B(-2,1) are two vertices of a triangle and third vertex moves on the line \[2x+3y=9,\] then the locus of the centroid of the triangle is :
AIEEE Solved Paper (Held On 11 May 2011)
A)\[xy=1\]
B)\[2x+3y=1\]
C) \[2x+3y=3\]
D)\[2x3y=1\]
Correct Answer:
B
Solution :
\[\alpha =3h\] \[\beta -2=3k\] third vertex on the line \[2x+3y=9\] \[2\alpha +3\beta =9\] \[2(3h)+3(3k+2)=9\] \[2h+3k=1\] \[2x+3y-1=0\]