Question

Which of the following points is no coplanar with points A,C, and D

Answer 1

Point T is not coplanar with A, C and D

Explanation:

Given a figure which shows some points. we have to find the points which are not coplanar with the points A, C and D.

In 3-dimensional space, there can be infinitely many planes passing through a line joining two points. However, if we have three non-collinear points, then there can be exactly only one plane that pass through all the three points. These points are known as coplanar points.

From the figure we see that the non-collinear points U, S and E lie in the same plane with the points A, C and D. Hence, from the given options the only point which not lie in the same plane with the points A, C and D is T.

Hence, T is not coplanar with A, C and D.

Answer 2

Option A is correct.

Point T is not co-planar with points A, C and D

Explanation:

Co-planar states that those which lies in the same plane.

Point A, C and D are lies in the Plane AEDC.

Since, this plane also contains points S and U.

Thus, point A, C , D , E, S and U are co-planar

but point T does not lie in the plane AEDC.

Therefore, point T is not co-planar with points A, C and D