Three Dimensional Geometry questions
879 published questions with worked solutions.
- The point of intersection of lines x - 1 2 = y - 2 3 = z - 3 4 and x - 4 5 = y - 1 2 = z 1 is
- Cosine of the angle between the lines r = 5 i - j + 4 k + ( i + 2 j + 2 k ) and r = 7 i + 2 j + 2 k + (3 i + 2 j + 6 k ) is
- A point (x, y, z) moves parallel to X-axis. Which of the three variable x, y, z remain fixed?
- An equation of a line through A(3, 4, -7) and B(1, -1, 6) is
- The distance of the point A(2, 3, 4) from X-axis is
- Foot of the perpendicular from the point ( , , ) on Y-axis is
- The co-ordinates of the foot of the perpendicular from the point (a, b, c) on Z-axis is
- Skew lines are
- The length of perpendicular from (1, 6, 3) to the line x 1 = y - 1 2 = z - 2 3 is
- From which of the following the distance of the point (1, 2, 3) is 10 ?
- The shortest distance of the point (a, b, c) from X-axis is
- The symmetric equation of lines 3x + 2y + z - 5 = 0 and x + y - 2z - 3 = 0 is
- The lines x - 1 2 = y - 1 3 = z - 3 0 and x - 2 0 = y - 3 0 = z - 4 1 are
- Equation of a line parallel to line x - 1 1 = y - 2 2 = z - 1 3 and passing through the point (1, 1, 1) is
- The equation of the line joining the points (-2, 4, 2) and (7, -2, 5) is
- Equation of a line passing through (2, -1, 1) and parallel to the line x - 3 2 = y + 1 7 = z - 2 -3 is
- Equation of a line passing through point (1, 2, -4) and perpendicular to lines x - 8 3 = y + 19 -16 = z - 10 7 and x - 15 3 = y -...
- The line joining the points (-2, 1, -8) and (a, b, c) is in the direction of vector 6 i + 2 j + 3 k , then values of a, b, c are
- If the line through the point (3, 1, 2) and (4, , 0) is parallel to the line through the points (1, 2, 1) and (2, 3, -1), find
- The equation of a line passing through the point (-3, 2, -4) and equally inclined to the axes, are
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