Three Dimensional Geometry questions
879 published questions with worked solutions.
- The straight lines whose d.c.s. satisfy al + bm + cn = 0 and fmn + gnl + hlm = 0 are perpendicular if ...................
- If a line makes a angles , , , with the four diagonals of a cube, then ^2 + ^2 + ^2 + ^2 = ........
- The projection of the line joining (3, 4, 5) and (4, 6, 3) on the line joining (-1, 2, 4) and (1, 0, 5) is ..................
- The straight line through (a, b, c) and parallel to X-axis is ..........
- The equation of the line through the point (1, 2, 3) and equally inclined to the co-ordinate axes is ...............
- Which one of the following can be direction cosine of the line?
- The line joining the points (1, 2, 3), (-1, -2, -3) and the line joining points (-2, 1, 5), (1, 2, 3) are ..............
- The value of k so that x - 1 -3 = y - 2 2k = z - 3 2 and x - 1 3k = y - 1 1 = z - 6 -5 may be perpendicular is given by...
- The length of the projection of the segment joining (x_1, y_1, z_1) and (x_2, y_2, z_2) on the line through ( , , ) and with...
- The lines x - 2 1 = y - 3 -1 = z + 4 2 and x + 1 -3 = y - 1 3 = z -6 are ..............
- The direction cosines of line joining (4, 3, -5) and (-2, 1, -8) are ..........
- The distance of the point (3, 4, 5) from Y-axis is ................
- The length of the perpendicular from origin to the line x - 4 3 = y - 2 4 = z - 4 -5 is ........................
- Direction ratios of Z-axis are..........
- If a line, which lies in xz plane, makes angle 30^ with Z-axis then its d.c.s. are .........
- The lines x 1 = y 2 = z 3 and x - 1 -2 = y - 2 -4 = z - 3 -6 are..........
- The equation of the straight line passing through the points (4, -5, -2) and (-1, 5, 3) is
- The equation of line 2x + z - 4 = 0 = 2y + z in symmetric form is
- Equation of a line passing through point (2, -1, 3) and parallel to line 2x - 1 2 = 1 - y 1 = z 3 is
- The line x - 2 3 = y - 3 4 = z - 4 0 is parallel to
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