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

Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

The area of the triangle formed by the lines y = x, x = 6, and y = 0 is

The centroid of the triangle formed by the pair of lines 12 x^(2)-20 x y+7 y^(2)=0 and the line 2 x-3 y+4=0 is

Area of the triangle formed by the normal to the curve x = e^(sin y) at (1,0) with the coordinate axes is

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+y+2=0 is

The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y=1 is

If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 is drawn through the given point P(alpha, beta) , then the least area of the triangle formed by this line and the co-ordinate axes is :

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