Area of the triangle formed by the lines y2−9xy+18x2=0 and y=9 is
The lines represented by y2−9xy+18x2=0 are 6x - y = 0 and 3x - y = 0 and third line is y = 9.
Therefore, coordinates of vertices of triangle are given by A(0,0); B(3,9) and c(32,9)
Hence, area of △ABC=12 ∣∣ ∣ ∣∣0013913291∣∣ ∣ ∣∣=274sq.units.
Aliter: Applying the formula given in the theory part, the required area is