Question

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A) 3,-4) B(-4,3) are the vertices of triangle ABC if centroid of this triangle moves on the line 3x-2y=4 then the locus of the vertex C is the line​

Answer 1

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Let the coordinates of C be (h,k)

Coordinates of centroid of triangle ABC is (

3

h

,

3

−2+k

)

Since, centroid lies on the line 2x+3y=1

⇒2(

3

h

)+3(

3

−2+k

)=1

⇒2h+3k=9

⇒2x+3y=9