logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
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
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...