JEE Advanced questions
3844 published questions with worked solutions.
- The equations of the line of shortest distance between the lines x+4 4 = y-2 -2 = z-3 0 and x-5 5 = y-3 3 = z0 are
- The projection of the line segment joining the point (6,-2,1) and the origin on the line x-2 4 = y+1 -3 = z-1 0 is
- If A=(p,q,r) and B=(p',q',r') are two points on the line x= y= z such that OA=a, OB=b, then pp'+qq'+rr' is equal to
- The number of real values of k for which the lines x-k 4 = y-1 2 = z+1 1 and x-(k+1) 1 = y -1 = z-1 2 are intersecting, is
- The distance between the lines x-4 2 = y+1 -3 = z6 and x -1 = y-1 3/2 = z+1 -3 is
- The point A(3,-2,4) is shifted parallel to the line x 3 = y-1 2 = z+1 3 by a distance 1. The coordinates of P in the new position...
- The image of the origin in the line x+1 2 = y-2 3 = z 3 is
- If the lines x1= y2= z3, x-1 3 = y-2 -1 = z-3 4 and x+k 3 = y-1 2 = z-2 h are concurrent then
- The number of real values of k for which the lines x-1 4 = y+1 3 = zk and x1= y-k 3 = z-1 -2 are coplanar, is
- A point on the line x-1 1 = y-2 2 = z+1 3 at a distance 6 from the origin is
- The direction cosines of a line passing through the origin and cutting the line x+2 1 = y-1 2 = z -1 at ^ -1 6 11 are
- The sum of the intercepts made by the plane ax+by+cz=d on the three axes of reference is
- If the sum of the reciprocals of the intercepts made by the plane ax+by+cz=1 on the three axes is 1 then the plane always passes...
- The direction cosines of the perpendicular from the origin to the plane 3x-y+4z=5 are
- The length of the perpendicular from the origin to the plane 2x+3y+ z=1 ( >0) is 15. Then is
- The direction cosines of the normal to the plane 5(x-2)=3(y-z) are
- A plane passing through the line joining the points A(1,-3,5) and B(4,1,-1) is turned about AB till it passes through the origin....
- The equations of a line passing through the point (-1,0,3) and perpendicular to the plane 4x+3y-5z=12 are
- The equation of the plane passing through the line x-1 2 = y+1 -1 = z3 and parallel to the direction whose direction numbers are...
- If the line x-1 1 = y+1 -2 = z+1 lies in the plane 3x-2y+5z=0 then is