Three Dimensional Geometry questions
879 published questions with worked solutions.
- The line joining points (3, 4, 1) and (5, 1, 6) meets to XY-plane at the point
- The lines x - 1 2 = y - 2 3 = z - 3 4 and x - 1 3 = y - 2 4 = z - 3 5 are
- Equation of a line through the points (0, 0, 0) and (1, 2, 3) is
- The lines x - 1 3 = y - 1 -1 = z + 1 0 and x - 4 2 = y + 0 0 = z + 1 3
- If G be centroid of the triangle with vertices (1, 2, 0), (0, 0, 2) and (2, 1, 1), then equations of line OG are
- The length of perpendicular from (2, -1, 5) to the line x - 11 10 = y + 2 -4 = z + 8 -11 and the co-ordinates of the foot are
- A line passes through two points A(2, -3, -1) and B(8, -1, 2), the co-ordinates of a point on this line nearer to the origin at a...
- Two lines x 1 = y 2 = z 3 and x + 1 1 = y + 2 2 = z + 3 3 are
- Distance of the point (3, 4, 5) from X-axis is
- A line segment has length 63 and direction ratios are 3, -2, 6. If the line makes an obtuse angle with X-axis, the components of...
- The foot of the perpendicular from (0, 2, 3) to the line x + 3 5 = y - 1 2 = z + 4 3 is
- Find the equation of the perpendicular drawn from the point (2, 4, -1) to the line x + 5 = 1 4 (y + 3) = - 1 9 (z - 6) and obtain...
- The co-ordinates of the foot of the perpendicular from the point (3, -1, 11) on the line x 2 = y - 2 3 = z - 3 4 are
- The co-ordinates of a point on the line x - 1 2 = y + 1 -3 = z at a distance 4 14 from the point (1, -1, 0) nearer to the origin...
- The length of the perpendicular drawn from the point (5, 4, -1) on the line x - 1 2 = y 9 = z 5 is
- The foot of perpendicular from the point (1, 2, 3) to the line x 2 = y - 1 3 = z - 1 3 is
- If the sum of the squares of the distance of a point from the three co-ordinate axes is 36, then its distance from the origin is
- If x - 1 l = y - 2 m = z + 1 n is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is
- The angle between the lines x = 1, y = 2 and y = -1, z = 0 is
- The lines x = ay + b, z = cy + d and x = a'y + b', z = c'y + d' are perpendicular to each other, if
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