JEE Main Mathematics — Three Dimensional Geometry Previous-Year Questions

The square of the distance of the point (-2, -8, 6) from the line (x-1)/(1) = (y-1)/(2) = (z)/(-1) along the line (x+5)…

Let a line L passing through the point (1, 1, 1) be perpendicular to both the vectors 2i + 2j + k and i + 2j + 2k. If P…

Let the foot of perpendicular from the point (λ, 2, 3) on the line (x-4)/(1) = (y-9)/(2) = (z-5)/(1) be the point (1, µ…

The square of the distance of the point of intersection of the lines r = (i + j - k) + λ(ai - j), a ≠ 0 and r = (4i - k…

Let a line L be perpendicular to both the lines L₁: (x+1)/(3) = (y+3)/(5) = (z+5)/(7) and L₂: (x-2)/(1) = (y-4)/(4) = (…

If the distance of the point P(43, α, β), β<0, from the line r=4 i-k+µ(2 i+3 k), µ R along a line with direction ratios…

Let a triangle PQR be such that P and Q lie on the line (x+3)/(8) = (y-4)/(2) = (z+1)/(2) and are at a distance of 6 un…

Let L be the line (x+1)/(2)=(y+1)/(3)=(z+3)/(6) and let S be the set of all points (a, b, c) on L, whose distance from…

Let a line L₁ pass through the origin and be perpendicular to the lines L₂: r = (3+t)i + (2t-1)j + (2t+4)k and L₃: r =…

If the distances of the point (1,2, a) from the line (x-1)/(1)=(y)/(2)=(z-1)/(1) along the lines L₁: (x-1)/(3)=(y-2)/(4…