List of top Mathematics Questions on Parabola asked in WBJEE

From the focus of the parabola y²=12x, a ray of light is directed in a direction making an angle \(tan^{-1}\frac{3}{4}\)  with the x-axis. Then the equation of the line along which the reflected ray leaves the parabola is

The axis of the parabola $x^2 + 2xy + y^2 - 5x + 5y - 5 = 0$ is

The locus of the midpoints of all chords of the parabola $y^2 = 4ax$ through its vertex is another parabola with directrix

The equation of the common tangent with positive slope to the parabola $y^{2}=8\sqrt{3x}$ and the hyperbola $4x^2 - y^2 = 4$ is

The coordinates of a moving point $p$ are $(2t^2 + 4, 4t + 6)$. Then its locus will be a

Directions: The following question has four choices, out of which one or more are correct. The potential energy function of a particle moving in one dimension is $U=k[x-\frac{x^3}{3a^2}],$ where $a$ and $k$ areconstants. Then,