Three Dimensional Geometry questions
879 published questions with worked solutions.
- If lines x - 1 -3 = y - 2 2k = z - 3 2 and x - 1 3k = y - 5 1 = z - 6 -5 perpendicular to each other, then k is equal to
- The point of intersection of the lines x - 5 3 = y - 7 -1 = z + 2 1 , x + 3 -36 = y - 3 2 = z - 6 4 is
- The equation of line passing through the point (a, b, c) and parallel to Z-axis is
- The equation of straight line passing through the points (a, b, c) and (a - b, b - c, c - a) is
- The co-ordinates of the point in which the line joining the points (3, 5, -7) and (-2, 1, 8) is intersected by the plane YZ are...
- A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-ordinates...
- The direction ratios of the lines x - y + z - 5 = 0 = x - 3y - 6 are
- The lines x + 1 -10 = y + 3 -1 = z - 4 1 and x + 10 -1 = y + 1 -3 = z - 1 4 intersect at the point
- The straight line x - 3 3 = y - 2 1 = z - 1 0 is
- The length of the perpendicular drawn from the point (3, -1, 11) to the line x 2 = y - 2 3 = z - 3 4 is
- The co-ordinates of a point on the line x = 4y + 5, z = 3y - 6 at a distance 3 26 from the point (5, 0, -6) are
- The equation of motion of a rocket are: x = 2t, y = -4t, z = 4t where the time 't' is given in seconds and the co-ordinates of a...
- The line x - 2 1 = y - 3 1 = z - 4 -k and x - 1 k = y - 4 2 = z - 5 1 are coplanar, if
- If the straight lines x - 1 k = y - 2 2 = z - 3 3 and x - 2 3 = y - 3 k = z - 1 2 intersect at a point, then the integer k is...
- Two lines x - 1 2 = y + 1 3 = z - 1 4 and x - 3 1 = y - k 2 = z 1 intersect at a point, then k is
- The equation of line is x - 1 2 = y + 1 -2 = z + 1 1 . The co-ordinates of the point on the line at a distance of 3 units from...
- A line from the origin meets the lines x - 2 1 = y - 1 -2 = z + 1 1 and x - 8 3 2 = y + 3 -1 = z - 1 1 at P and Q respectively....
- The point in which the line x + 1 -1 = y - 12 5 = z - 7 2 cuts the surface 11x^2 - 5y^2 + z^2 = 0 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 lines x - 1 1 = y - 1 2 = z - 1 3 and x - 4 2 = y - 6 3 = z - 7 3 are coplanar. Their point of intersection is
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