480 JEE Main 2019 Mathematics previous-year questions, grouped chapter-wise, each with a verified answer and full solution.
Every JEE Main 2019 Mathematics previous-year question, organised by chapter. Each links to a full step-by-step solution with a verified answer key. Use this page to revise exactly what appeared in JEE Main 2019, or open a chapter to see all years.
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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