JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-29
question_answer
Let \[A-(-3,2)\] and \[B-(-2,1)\] be the vertices of a triangle ABC. If the centroid of triangle ABC lies on the line \[3x+4y+2=0\], then the locus of vertex C is
A)\[4x+3y+5=0\]
B)\[3x+4y+3=0\]
C)\[4x+3y+3=0\]
D)\[3x+4y+5=0\]
Correct Answer:
B
Solution :
\[\therefore \] \[3\left( \frac{h-5}{3} \right)+4\left( \frac{k+3}{3} \right)+2=0\] \[\Rightarrow 3(h-5)+4(k+3)+6=0\] \[\therefore \] The locus of\[C(h,\,\,k)\]is\[3x+4y+3=0\]