Question

Find the centroid of the triangle formed by the lines 12x2 – 20xy + 7y2 = 0, 2x – 3y + 4 = 0.

Answer 1

The lines represented by this equation are 6x – 7y = 0 ....... (1) and 2x – y = 0 ....... (2)

The third side equation is 2x – 3y + 4 = 0 ....... (3)

Point of intersection of the lines (1) and (2) is O(0, 0)

Point of intersection of the lines (2) and (3) is A(1, 2)

Point of intersection of the lines (3) and (1) is B (7, 6)