List of top Mathematics Questions on Parabola asked in KCET

The equation of the parabola whose focus is $(6, 0)$ and directrix is $x = -6$ is:

If the parabola y = αx² - 6x + β passes through the point (0, 2) and has its tangent at x = \(\frac{3}{2}\) parellel to x axis, then

If the parabola x² = 4ay passes through the point (2, 1), then the length of the latus rectum is

If the parabola $x^2=4ay$ passes through the point $(2, 1)$, then the length of the latus rectum is

The length of latus rectum o f the parabola $4y^2 + 3x + 3y + 1 = 0$ is

If $(0, 6)$ and $(0, 3)$ are respectively the vertex and focus of a parabola then its equation is

The equation of parabola whose focus is (6, 0) and directrix is x = –6 is