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Three Dimensional Geometry — JEE Main PYQs

354 previous year questions on Three Dimensional Geometry (Mathematics), newest first. Open any question for its complete step-by-step solution.

Distance between two parallel planes $2 x + y + 2 z = 8$ and $4 x + 2 y + 4 z + 5 = 0$ is
JEE Main 2004View solution →
A line with direction cosines proportional to $2, 1, 2$ meets each of the lines $x = y + a = z$ and $x + a = 2 y = 2 z$ . The co-ordinates of each of the point of intersection are given by
JEE Main 2004View solution →
If the straight lines $x = 1 + s, y = - 3 - λ s, z = 1 + λ s$ and $x = \frac{t}{2}, y = 1 + t, z = 2 - t$ with parameters $s$ and $t$ respectively, are co-planar then $λ$ equals
JEE Main 2004View solution →
The intersection of the spheres $x^{2} + y^{2} + z^{2} + 7 x - 2 y - z = 13$ and $x^{2} + y^{2} + z^{2} - 3 x + 3 y + 4 z = 8$ is the same as the intersection of one of the sphere and the plane
JEE Main 2004View solution →