List of top Mathematics Questions on 3D Geometry asked in WBJEE

The straight line \[ \frac{x-3}{3} = \frac{y-2}{1} = \frac{z-1}{0} \] is:

The locus of the midpoint of the system of parallel chords parallel to the line $ y = 2x $ to the hyperbola $ 9x^2 - 4y^2 = 36 $ is:

The plane $2x - y + 3z + 5 = 0$ is rotated through $90^\circ$ about its line of intersection with the plane $x + y + z = 1$. The equation of the plane in the new position is:

$\triangle OAB$ is an equilateral triangle inscribed in the parabola $y^2 = 4ax, \, a>0$ with $O$ as the vertex. Then the length of the side of $\triangle OAB$ is: