Three Dimensional Geometry questions
879 published questions with worked solutions.
- The incenter are centroid of the triangle, whose vertices are A (0,3,0), B (0,0,4) and C (0,3,4), are respectively given by...
- The equation of a line passing through the point (2, 1, 3) and perpendicular to the lines
- The direction cosines of the line, which is perpendicular to the lines with direction ratio -1, 2, 2 and 0, 2, 1 are respectively
- The vector projection of PQ on AB , where P (-2,1,3), Q (3,2,5), A (4,-3,5) and B (7,-5,1)
- The value of k such that x-4 1 = y-2 1 = z-k 2 lies in the plane 2x-4y+z=7 is
- The line drawn from (4, -1, 2) and (-3, 2, 3) meets the plane at right angles at the point (-10, 5, 4), then the equation of...
- The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x – axis is
- The Cartesian equation to the line which passes through the points (3,1,2) and (-1,2,1) is
- If a line L is the line of intersection of the planes 2x + 3y + z = 1 and x + 3y + 2z = 2. If line L makes an angle with the...
- The co-ordinates of the point, where the line x-1 2 = y-2 -3 = z+5 4 meets the plane 2x + 4y - z = 3, are
- The equation of a plane, containing the line of intersection of the planes 2x - y - 4 = 0 and y + 2z - 4 = 0 and passing through...
- If two vertices of a triangle are A(3, 1, 4) and B(-4, 5, -3) and the centroid of the triangle is G (-1, 2, 1), then the third...
- The foot of the perpendicular drawn form the origin to the plane is (4, -2, 5), then the Cartesian equation of the plane is
- A plane which is perpendicular to two planes 2z - 2y + z = 0 and x – y + 2z = 4, passes through (1, 2, 1). The distance of the...
- The value of m such that x-4 1 = y-2 1 = z+m 2 lies in the plane 2x - 4y + z = 7 is
- A line with positive direction cosines passes through the point P (2,1,2) and makes equal angles with the coordinate axes. The...
- The distance of the point (1,3,-7) from the plane passing through the point (1,-1,-1) having normal perpendicular to both the...
- The value of m, such that x-4 1 = y-2 1 = z-m 2 lies in the plane 2x-4y+z=7 is
- The length of the perpendicular from the point A(1,-2,-3) on the line x-1 2 = y+3 -1 = z+1 -2 is
- The perpendicular distance of the origin from the plane x - 3y + 4z - 6 = 0 is
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