Three Dimensional Geometry questions
879 published questions with worked solutions.
- The equations of the line passing through the point (1,2,3) having the direction ratios 3,2,1 are
- The equations of the line passing through the points (-2,1,0) and (3,4,-1) are
- The coordinates of a point on the line x-1 2 = y-2 3 = z 3 at a distance 1 unit from the point (-1,-1,- 3) are
- The equation of the locus of the point (1+ r4, -1+ r3, 2 ), where r R, is given by
- If the lines x+2 4 +1 = y-1 4 = z -18 and x -3 = y+1 5 -3 = z-1 6 are parallel to each other then the value of the pair ( , ) is
- If ' , ' , ' are not all equal, the point of intersection of the lines x- ' = y- ' = z- ' and x- ' = y- ' = z- ' is
- The equation of the straight line passing through the origin and perpendicular to the lines x+1 -3 = y-2 2 = z 1 and x-1 1 = y -3...
- 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 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
- 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
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