JEE Advanced questions
3844 published questions with worked solutions.
- The equations of the line of intersection of the planes x+y+z=2 and 3x-y+2z=5 in symmetric form are
- The direction cosines of a line parallel to the planes 3x+4y+z=0 and x-2y-3z=5 are
- If (3, , ) is a point on the line 2x+y+z-3=0=x-2y+z-1 then
- The equations of the perpendicular from the point (-2,4,1) to the plane 7x-2y+3z=1 are
- P is a point on the y–z plane, making equal angles with the y-axis and z-axis and at a distance 2 from the origin. M is the foot...
- The distance of the point (2,0,-3) from the plane 5x-12y=0 is
- The image of the point (2,-1,1) by the plane 3x+4y-5z=0 is
- If the image of the point (1,1,1) by a plane be (3,-1,5) then the equation of the plane is
- The angle between the line x=y=z and the plane 4x-3y+5z=2 is
- The equation of the plane passing through the origin and containing the line of intersection of the planes 5x+y-3z=2 and...
- What is the equation of the plane passing through the line of intersection of the planes x-y+3z=4 and 2x+y+3z=5 and parallel to...
- What is the equation of the plane passing through the line 3x+y-5z=2=x-2y+3z and perpendicular to the plane x-y+z=3?
- The equation of the plane passing through the line x+y-2=0=x-y-2z and at a distance 1 from the point (0,1,1) is
- The angle between the planes x+y+z=0 and 3x-4y+5z=0 is
- The variable plane (2 +1)x+(3- )y+z=4 always passes through the line
- The distance between the planes 4x-5y+3z=5 and 4x-5y+3z+2=0 is
- The shortest distance between the lines x-y=0=2x+z and x+y-2=0=3x-y+z-1 is
- The equation of the plane bisecting the angle between the planes 3x+4y=4 and 6x-2y+3z+3=0 that contains the origin, is
- The direction cosines of the projection of the line x -2 = y-1 1 = z+1 -1 on the plane 2x+y-3z=5 are
- Two systems of rectangular axes have the same origin. If a plane cuts them at distances a,b,c and a',b',c' from the origin then