JEE Advance - Mathematics (1996 - No. 26)
Points $$A, B$$ and $$C$$ lie on the parabola $${y^2} = 4ax$$. The tangents to the parabola at $$A, B$$ and $$C$$, taken in pairs, intersect at points $$P, Q$$ and $$R$$. Determine the ratio of the areas of the triangles $$ABC$$ and $$PQR$$.
1:1
2:1
3:1
4:1
The ratio depends on the parabola's parameter a