Question

Find the equation of the line joining A (1, 3) and B (0, 0) using determinants and find k if D (k, 0) is a point such that the area of ΔABD is 3 sq units.

Answer 1

Let P (x,y) be any point on the line AB. Then,

⇒ 3x - y = 0,

Which is the required equation of line AB.

Now, area (ΔABD) = 3 sq units.