List of top Mathematics Questions on Parabola asked in MHT CET

Angle between the parabola \[ y^2 = 4(x - 1) \quad \text{and} \quad x^2 + 4(y - 3) = 0 \quad \text{at the common end of their latus rectum is} \]

The equation of the directrix of the parabola $y^2 + 4y + 4x + 2 = 0$ is ______.

The angle between the tangents drawn from the point (1, 4) to the parabola $y^2 = 4x$, is ______.

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 $$ y^2 = 4ax \text{ and its latus rectum.} $$