Three Dimensional Geometry questions
879 published questions with worked solutions.
- A line passing through the points (1, -1, 2) and (2, 0, 1) meets the XY plane and the YZ plane at points A and B respectively The...
- If , , are the direction angles of the line x = 4z + 3 and y = 2 - 3z, then the value of + + is ...
- The perpendicular distance from the origin to the plane containing the points (1, -2, 1), (2, -1, -3) and (0, 1, 5) is...(in...
- The symmetric form of the equation of the line x = ay + b, z = cy + d is
- From a point P (a, b, c), perpendiculars PA and PB are drawn to XY plane and ZX plane respectively If O is the origin, then the...
- The plane x 2 + y 3 + z 4 =1 cuts the axes at the points A, B, C then the area of triangle ABC is
- The equation of the plane passing through the point of intersection of the planes 2x - y + z - 3 = 0 and 4x - 3y + 5z + 9 = 0 and...
- If the points A (1, 1, 2), B (2, 1, p), C (1, 0, 3) and D (2, 2, 0) are coplanar then the value of p is
- The distance of the point (2, 4,0) from the point of intersection of the lines x+6 3 = z+1 1 and x-7 4 = y-9 3 = z-4 2 is
- The co-ordinates of the point where the line joining the points (2, -3, 1) and (3, -4, -5) and intersects the plane 2x + y + z =...
- If the line x+1 3 = y-k 7 = z-4 8 lies in the plane 2x+py+7z-41=0 which is perpendicular to the plane x+4y-2z+13=0 then k =
- The direction cosines of the line x - y + 2z = 5 and 3x + y + z = 6 are
- If the angle between the planes x - 2y + 3z - 5 = 0 and x + y + 2z + 7 = 0 is ^ -1 ( 1 14 ), then the difference between the...
- If the plane x 3 + y 2 - z 4 = 1 cuts the co-ordinate axes of points A, B and C, then the area of the triangle ABC is
- The Cartesian equations of the line passing through A(0, 1, 1) and parallel to the X-axis are….
- If the line joining points (2, 1, 4) and (a -1, 4, -1) is parallel to the line joining points (0, 2, b-1) and (5, 3, -2) then the...
- If the perpendicular distance of the plane passing through the point Q (1, 0, -1) and containing the line r =( i -3 j + k )+ (2 i...
- A plane meets the co-ordinate axes in A, B, C such that the centroid of the triangle ABC is the point (1, r, r^2) then the...
- The line passing through the point (5, 1, a) and (3, b, 1) crosses the yz-plane at (0, 17 2 , -13 2 ), then the value of 2a + 3b...
- The direction ratios of the line of intersection of the planes x-y+z-5 = 0 and x - 3y - 6 = 0, are
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