we know that
<u>Coplanar points</u> are three or more points which lie in the same plane. Remember that a plane is a flat surface which extends without end in all directions. Any three points in 3-dimensional space determine a plane.
<u>case a)</u> points A, B, E
Any group of three points determines a plane
so
<u>The points A,B,E are coplanar</u>
<u>case b)</u> points A, B,C,E
The four points do not belong to the same plane
so
<u>The points A,B,C,E are not coplanar</u>
<u>case c)</u> points B, C, D
Any group of three points determines a plane
so
<u>The points B, C, D are coplanar</u>
<u>case d)</u> points A,B, C, D
The base of the pyramid is a flat surface, the four points lie in the same plane
so
<u>The points A,B, C, D are coplanar</u>
therefore
<u>the answer is the option</u>
points A, B, C, E are not coplanar
