Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
0 votes

Let $A(2,3)$ and $B(-2,3)$ be vertices of a triangle ABC. If the centriod of this triangle moves on the line $2x+3y=1$ then the locus of the vertex C is the line .

$\begin{array}{1 1}(A)\;3x-2y=3\\(B)\;2x-3y=7\\(C)\;3x+2y=5\\(D)\;2x+3y=9\end{array}$

Can you answer this question?

1 Answer

0 votes
Let the vertex $C$ be $(h,K)$ then the centroid of $\Delta ABC$ is $\bigg( \large\frac{2-2+h}{3},\frac{-3+1+k}{3}\bigg)$ or $\bigg(\large\frac{h}{3}, \frac{-2+k}{3}\bigg)$
It lies on $2x+3y=1$
=> $\large\frac{2h}{3}$$=2+k=1$
=> $2h+3k=9$
=> Locus of C is $2x+3y=9$
Hence D is the correct answer.
answered Apr 8, 2014 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App