Three Dimensional Geometry questions
879 published questions with worked solutions.
- The equation of the plane passing through the points (2,3,1), (4,-5,3) and parallel to X-axis is
- A tetrahedron has vertices P(1,2,1), Q(2,1,3), R(-1,1,2) and O(0,0,0). Then the angle between the faces OPQ and PQR is
- A line makes the same angle ' ' with each of the x and y axes. If the angle ' ' which it makes with the z-axis, is such that ^2...
- The lines x-1 3 = y+1 2 = z-1 5 and x+2 4 = y-1 3 = z+1 -2
- The foot of the perpendicular from the point (0, 2, 3) on the line x+3 5 = y-1 2 = z+4 3 is
- The foot of the perpendicular drawn from the origin to the plane is (4, -2, -5). Hence, the equation of the plane is
- The equation of the line, passing through (1, 2, 3) and parallel to planes x - y + 2z = 5 and 3x + y + z = 6, is
- Equation of plane containing the line x 2 = y 3 = z 4 and perpendicular to the plane containing the lines x 3 = y 4 = z 2 and x 4...
- The centroid of tetrahedron with vertices at A(-1,2,3), B(3,-2,1), C(2,1,3) and D(-1,-2,4) is
- If the area of the triangle with vertices (1, 2, 0), (1, 0, 2) and (0, x, 1) is 6 square units, then the value of x is
- The equation of the plane through (-1, 1, 2) whose normal makes equal acute angles with co-ordinate axes is
- The distance of the point P(-2, 4, -5) from the line x+3 3 = y-4 5 = z+8 6 is
- If a line makes angles , , with the coordinate axes, then the sum of values of ^2 + ^2 + ^2 and 2 + 2 + 2 is ….
- The equation of the plane passing through the intersection of planes 2x-y+z=3, 4x-3y+5z=-9 and parallel to the line x+1 2 = y+3 4...
- The plane x2+ y3+ z4=1 cuts the co-ordinate axes at the points A, B, C respectively. Then the area of triangle ABC is
- The co-ordinates of the foot of the perpendicular from the origin to the plane 2x-3y-6z=49 are _____
- The distance of the point (1, 6, 2) from the point intersection of the line x-2 3 = y+1 4 = z-2 12 and the plane x – y + z = 16 is
- The foot of the perpendicular from the point (1, 2, 3) on the line r =(6 i +7 j +7 k )+ (3 i +2 j -2 k ) has the co-ordinates
- A tetrahedron has vertices P(2, 1, 2, 3), Q(-1, 1, 2), R(1, 2, 1) and O(0, 0, 0) then angle between the faces OPQ and PQR is
- A plane is parallel to two lines whose direction ratios are 2, 0,-2 and -2, 2, 0 and it contains the point (2, 2, 2). If it cuts...
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