7 JEE Main 2005 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2005 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.
If the angle θ between the line (x+1)/(1)=(y-1)/(2)=(z-2)/(2) and the plane 2 x-y+√(λ) z+4= 0 is such that θ=(1)/(3) th…
The plane x+2 y-z=4 cuts the sphere x²+y²+z²-x+z-2=0 in a circle of radius
If the plane 2 a x-3 a y+4 a z+6=0 passes through the midpoint of the line joining the centres of the spheres x²+y²+z²+…
The angle between the lines 2 x=3 y=-z and 6 x=-y=-4 z is
The line parallel to the x-axis and passing through the intersection of the lines ax + 2 b y+3 b=0 and b x-2 a y-3 a=0,…
Let a, b and c be distinct non-negative numbers. If the vectors a i+a j+c k, i+k and c i+c j+b k lie in a plane, then c…
The distance between the line r=2 i-2 j+3 k+λ(i-j+4 k) and the plane r ·(i+5 j+k)=5 is