Question of the Day (05-Feb-20)
A school teacher played a game, ‘Geo-basics’ with the students of a mathematics class by asking them to write a statement each on a piece of paper. The statements should be related to basics of geometry lesson, that he taught last week to the class.
He gave 3 points to a student, if the statement written by him/her is ‘always true’, 2 points, if the statement is ‘sometimes true’ and 1 point if the statement is ‘never true’.
What is the sum of the points given by the teacher to a group of five students who wrote the following statements:
(a) It is possible to draw three points that are noncoplanar.
(b) If two ants are walking along different straight lines but in different directions, their paths cannot cross more than once.
(c) If two rays share a common endpoint, then they form a line.
(d) Three coplanar lines may have zero, one, two or three points of intersection.
(e) If two planes intersect, they intersect in a straight line.