Three Dimensional Geometry questions
879 published questions with worked solutions.
- Scalar projection of line segment joining the points A (-2, 0, 3) B (1, 4, 2) on the line whose direction ratio are 6, -2, 3 is
- The line x-2 3 = y-1 -5 = z+2 2 lies in the plane x+3y- z+ =0, then the value of ^2+ + ^2 is
- The co-ordinates of the point, where the line through A(3, 4, 1) and B(5, 1, 6) crosses the XZ-plane, are
- ABC is a triangle in a plane with vertices A(2, 3, 5), B(-1, 3, 2) and C ( , 5, ). If median through A is equally inclined to the...
- A line makes 45^ angle with positive X-axis and make equal angles with positive Y-axis and Z-axis respectively, then the sum of...
- If the lines x-1 2 = y+2 3 = z-1 4 and x-3 1 = y-k 2 = z 1 intersect, then k has the value
- The vector equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5, which is perpendicular to...
- The equation of a line passing through the point (2,-1,1) and parallel to the line joining the points i+2 j+2 k and - i+4 j+ k is
- Equation of the plane, through the points (-1, 2, -2) and (-1, 3, 2) and perpendicular to yz - plane, is
- If the lines x-1 2 = y-2 3 = z-1 4 and x-3 -1 = y-k 2 = z 1 intersect, then k is equal to
- If the line, x-3 2 = y+2 1 = z+4 3 lies in the plane, x+my-z=9, then ^2+m^2 is equal to
- The equation of the plane passing through the point (2, 2, 1) and the intersection of the planes x + 2y – 3z + 1 = 0 and 3x – 2y...
- A line makes angles 2 , 2 , 2 with positive direction of the co-ordinate axes (x, y, z axes respectively), then + + has the value
- The line joining points (3, 5, -7) and (-2, 1, 8) meets yz-plane at point
- If A (x, 4, -1), B (3, x, -5) and C (2, -2, 3) are the vertices and G (2, 1, -1) is the centroid of the triangle ABC, then the...
- The Catesian equation of the line passing through the point (-3, 0, 1) and perpendicular to vector i-2 j+ k and 2 i+ j- k is
- The co-ordinates of the foot of the perpendicular drawn from the origin to the plane 3x + 2y + 6z = 56 is
- If A (5, 1, p), B (1, q, p) and C (1, -2, 3) are vertices of the triangle and G (r, - 4 3 , 1 3 ) is its centroid, then the...
- If the points A(3, 2, 1), B(4, x, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar then x has the values
- Let S be the set of all real values of such that a plane passing through the points (- ^2, 1, 1), (1, - ^2, 1) and (1, 1, - ^2)...
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