30 JEE Main 2019 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 previous-year questions from the Three Dimensional Geometry chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Three Dimensional Geometry chapter hub.
The perpendicular distance from the origin to the plane containing the two lines, x   +   2 3 = y   - &#…
A plane which bisects the angle between the two given planes 2 x - y + 2 z - 4 = 0 and x + 2 y + 2 z - 2 = 0 , passes t…
If the length of the perpendicular from the point β , 0 , β , β ≠ 0 to the line, x 1 = y - 1 0 = z…
The vertices B and C of a Δ A B C lie on the line, x + 2 3 = y - 1 0 = z 4 such that B C = 5 units. Then the area…
The plane through the intersection of the planes x + y + z = 1 and 2 x + 3 y - z + 4 = 0 and parallel to y - axis also…
A perpendicular is drawn from a point on the line x - 1 2 =   y + 1 - 1 = z 1 to the plane x + y + z = 3 such that…
If the lines x = a y + b , z = c y + d and x = a ′ z + b ′ ,    y = c ′    z…
If the plane 2 x - y + 2 z + 3 = 0 has the distances 1 3 and 2 3 units from the planes 4 x - 2 y + 4 z + λ = 0 and…
A tetrahedron has vertices P 1 ,   2 ,   1 ,   Q 2 ,   1 ,   3 ,   R - 1 ,   1 , …
If the line x - 2 3 = y + 1 2 = z - 1 - 1 intersects the plane 2 x + 3 y - z + 13 = 0 at a point P and the plane 3 x +…
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