October 16, 2023
October 16, 2023
October 16, 2023
###### GATE 2022
October 16, 2023
 Question 9
The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
The line joining P and R is parallel to the line joining Q and S.
P is placed on the side opposite to the corner T.
S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?

 A P cannot be placed at a corner B S cannot be placed at a corner C U cannot be placed at a mid-point D R cannot be placed at a corner
Question 9 Explanation:
From the given information draw the image, such that

The Image is satisfying all given conditions. From this we can say that S cannot be placed at the corner. By satisfying all given conditions we can draw in different ways but in all cases S cannot be placed at the corner.
Question 9 Explanation:
From the given information draw the image, such that

The Image is satisfying all given conditions. From this we can say that S cannot be placed at the corner. By satisfying all given conditions we can draw in different ways but in all cases S cannot be placed at the corner.