A point P moves on line `2x-3y+4=0` If `Q(1,4)` and `R(3,-2)` are fixed points, then the locus of the centroid of `triangle PQR` is a line: (a) with slope `3/2` (b) parallel to y-axis (c) with slope `2/3` (d) parallel to x-axis

A=(1,2),B(3,4) and the locus of C is 2x+3y=5 then the locus of the centroid of Delta ABC is

If the vertices P and Q of a triangle PQR are given by (2,5) and (4,-11), respectively, and the point R moves along the line N given by 9x+7y+4=0 ,then the locus of the centroid of triangle PQR is a straight line parallel to PQ (b) QR (c) RP (d) N

If A(-1, 0), B(1, 0) and C(3, 0) are three given points, then the locus of point D satisfying the relation DA^2 + DB^2 = 2DC^2 is (A) a straight line parallel to x-axis (B) a striaght line parallel to y-axis (C) a circle (D) none of these

The point Q is the image of the P in line x+y+4=0 and R is the image of Q in line 2x-y+7=0. If P=(1,6), then the circumcentre of triangle PQR is

The vertex C of a triangle ABC moves on the line L-=3x+4y+5=0 . The co-ordinates of the points A and B are (2,7) and (5,8) The locus of centroid of DeltaABC is a line parallel to:

Let P is a point on the line y+2x=2 and Q and R are two points on the line 3y+6x=3 . If the triangle PQR is an equilateral triangle, then its area (in sq. units) is equal to

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

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