Introduction to 3D Questions

Perpendiculars are drawn from points on the line the plane x + y + z = 3. The feet of perpendiculars lie on the line...

The points A (1, − 1, − 5), B (3, 1, 3) and C(9, 1, − 3) are the vertices of -

If origin is the centroid of the triangle ABC with vertices A (a, 1, 3), B (−2, b, − 5) and C (4, 7, c) then values of a, b, c are respectively -

Distance of the point (x, y, z) from y-axis is-

The distance of a point P (x, y, z) from yz plane is -

The co-ordinates of the point which are lie equally distance from the point (0, 0, 0) ; (a, 0, 0) ; (0, b, 0) and (0, 0, c)

Distance of the point (a, b, c) from z- axis is -

The point on xy-plane which is equidistant from the points (2, 0, 3), (0, 3, 2), (0, 0, 1) is -

The point which lie on z - axis has the following condition -

The distance of the point (1, 2, 3) from x-axis is -

If P ≡ (0, 5, 6), Q ≡ (2, 1, 2), R ≡ (a, 3, 4) and PQ = QR then ′a′ equal to -

Points (1, 2, 3); (3, 5, 7) and (−1, −1, −1) are-

If the vertices of points A,B,C of a tetrahedron ABCD are respectively (1, 2, 3) ; (−1, 2, 3),(1, −2, 3) and his centroid is (0, 0, 3/2) then co-ordinate of point D are -...

The distance of point (1, 2, 3) from coordinate axis are -

The coordinates of the points A and B are (−2, 2, 3) and (13, −3, 13) respectively. A point P moves so that 3PA = 2 PB, then iocus of P is -

A point which lie in yz plane, the sum of co-ordinate is 3, if distance of point from xz plane is twice the distance of point from xy plane, then co-ordinates are-

A point located in space is moves in such a way that sum of distance from xy and yz plane is equal to distance from zx plane the locus of the point are -

A (1, 3, 5) and B (− 2, 3, − 4) are two points, A point P moves such that PA2 − PB2 = 6c, then locus of P is -

The locus of the point which moves such that its distance from (1, − 2, 2) is unity, is -

If distance of any point from z - axis is thrice its distance from xy-plane, then its locus is-