GATE ECE 2022 GA Q10: Spatial Aptitude

Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Let X, Y and Z represent the following operations:

X: rotation of the square by 180 degree with respect to the S-Q axis.

Y: rotation of the square by 180 degree with respect to the P-R axis.

Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XYZ (2) XY (3) ZZZ

Which one of the following statements is correct as per the information provided above?

Your answerChoose one option.

The sequence of operations (1) and (2) are equivalent

The sequence of operations (1) and (3) are equivalent

The sequence of operations (2) and (3) are equivalent

The sequence of operations (1), (2) and (3) are equivalent

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