9 JEE Main 2014 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2014 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 angle between the lines whose direction cosines satisfy the equations l ⁡ + m + n = 0 and l ⁡ 2 = m 2 +…
If the distance between planes, 4 x-2 y-4 z+1= 0 and 4 x-2 y-4 z+d=0 is 7 , then d is:
The image of the line x - 1 3 = y - 3 1 = z - 4 - 5 in the plane 2 x - y + z +3=0 is the line
If the angle between the line 2 x ⁡ + 1 = y ⁡ = z ⁡ + 4 and the plane 2 x ⁡ - y ⁡ + λ…
Equation of the line of the shortest distance between the lines x ⁡ 1 = y ⁡ - 1 = z ⁡ 1 and x ⁡…
Equation of the plane which passes through the point of intersection of lines x - 1 3 = y - 2 1 = z - 3 2 and x - 3 1 =…
A symmetrical form of the line of intersection of the planes x=a y+b and z=c y+d is
The plane containing the line x-11=y-22=z-33 and parallel to the line x1=y1=z4 passes through the point:
A line in the 3 -dimensional space makes an angle θ 0 < θ ≤ π 2 with both the X and Y - axes.…