Three Dimensional Geometry questions
879 published questions with worked solutions.
- The equation of the line passing through (1, 2, -1) and (-3, 0, 1) is ........
- The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of..............
- d.c.s. of a line passing through P(1, 2, 1) and Q(2, 3, -1) are ...........
- The direction ratios of Y-axis are ............
- Two lines with d.c.s. l_1, m_1, n_1 and l_2, m_2, n_2 are at right angles if ...........
- The equation of straight line through (0, 0, 1) and parallel to Y-axis is ..........
- Symmetric form of the equation of Y-axis is ............
- The shortest distance of the point (a, b, c) from X-axis is ..........
- The lines x -2 = y -4 = z -6 and x 1 = y 2 = z 3 are
- A line which is equally inclined with Y-axis and Z-axis also makes angle 45^ with X-axis. Then its d.c.s. are .........
- The direction ratios of the diagonals of a cube which join the origin to the opposite corner are ......
- If the co-ordinates of the vertices of a ABC be A(-1, 3, 2), B(2, 3, 5), and C(3, 5, -2) then A = ..........
- A straight line, which makes an angle 60^ with each of Y and Z-axis, inclined with X-axis at an angle .........
- If a straight line is equally inclined with each co-ordinate axis, then angle made by it with each axis is ................
- The acute angle between the lines whose direction cosines are connected by the relations l + m + n = 0 and 2lm + 2nl - mn = 0 is...
- If a line makes angles , , with X, Y, Z axes respectively then 2 + 2 + 2 is equal to ..............
- The Points (5, 2, 4), (6, -1, 2) and (8, -7, k) are collinear if k is equal to ..........
- If , , are direction angles of straight line, then ^2 + ^2 + ^2 is equal to ......
- The direction cosines of a moving line in two adjacent positions are l, m, n and l + l, m + m, n + n, the small angle between the...
- The line x - 1 2 = y - 2 3 = z + 1 1 contains the points...........
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