Home
Class 11
MATHS
A(2,-3) and B(-2,1) are the vertices of ...

`A(2,-3)` and `B(-2,1)` are the vertices of a triangle `A B C .` If the centroid of this triangle moves on the line `2 x+3 y=1,` then the locus of the vertex `C` is the line

A

2x-3y=9

B

3x-2y=5

C

3x+2y=5

D

2x-3y=7

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

A(3,-4) and B(-4,3) are the vertices of a triangle A B C . If the centroid of this triangle moves on the line 3 x-2 y=4 then the locus of the vertex C is the line

If 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 :

Find the centroid of the triangle formed by the line 2x + 3y - 6 = 0, with the coordinate axes.

The centroid of the triangle A B C is (2,3) and A=(4,2), B=(4,5), then the area of the triangle A B C

If two vertices of a triangle are (5, -1) and (-2, 3) and if orthocentre lies at the origin, then the co-ordinates of third vertex are:

If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices of a triangle, then the triangle is

If a plane meets coordinate axes in A, B, C such that the centroid of the triangle is (1, k, k^2) , then equation of the plane is :

The centroid of the triangle ABC where A= (2,3), B= (8,10) and C= (5,5) is

One vertex of the equilateral triangle with centroid at the origin and one side as x+y-2=0 is :