The medians AD and BE of a triangle with vertices A(0, b), B(0, 0) and C(a, 0) are perpendicular to each other, if

The centroid of a triangle is (2, 7) and two of its vertices are (4, 80 and (-2, 6). The third vertex is

If the lines x + q = 0, y – 2 = 0 and 3x + 2y + 5 + 0 are concurrent, then the value of q will be

The equation of the line with slope -3/2 and which is concurrent with the lines 4x + 3y – 7 = 0 and 8x + 5y – 1 = 0 is

The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance between its circumcentre and centroid is