The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?

Correct Answer is : The line segment joining R and T is parallel to the line segment joining Q and S

The line segment joining R and T is parallel to the line segment joining Q and S

The line segment joining T and Q is parallel to the line joining P and U

The line segment joining R and P is perpendicular to the line segment joining U and Q

The line segment joining Q and S is perpendicular to the line segment joining R and P

GATE Electrical Engineering (EE) 2022 Solved Paper

Question : 8 of 65

Marks: +1, -0

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.
Consider the following statements:

The line segment joining R and S is longer than the line segment joining P and Q.
The line segment joining R and S is perpendicular to the line segment joining P and Q.
The line segment joining R and U is parallel to the line segment joining T and Q.

Based on the above statements, which one of the following options is CORRECT?

The line segment joining R and T is parallel to the line segment joining Q and S
The line segment joining T and Q is parallel to the line joining P and U
The line segment joining R and P is perpendicular to the line segment joining U and Q
The line segment joining Q and S is perpendicular to the line segment joining R and P

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