List of top Mathematics Questions on Parabola asked in MHT CET

If the lines \(\frac{x-1}{2} = \frac{y+1}{k} = \frac{z}{2}\) and \(\frac{x+1}{5} = \frac{y+1}{2} = \frac{z}{k}\) are coplanar, then the equation of the plane containing these lines are

Find the area of the region bounded by the parabola $$ y^2 = 4ax \text{ and its latus rectum.} $$