4 JEE Main 2003 Three Dimensional Geometry previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2003 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 two lines x=a y+b, z=c y+d and x=aⁱme y+bⁱme z=cⁱme y+dⁱme will be perpendicular, if and only if
The shortest distance from the plane 12 x+4 y+3 z=327 to the sphere x²+y²+z²+4 x-2 y-6 z=155 is
Two system of rectangular axes have the same origin. If a plane cuts them at distances a, b, c and aⁱme, bⁱme, cⁱme fro…
The radius of the circle in which the sphere x²+y²+z²+2 x-2 y-4 z-19=0 is cut by the plane x+2 y+2 z+7=0 is