Let S be the parallelogram obtained by joining the mid-point

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CDS-II 2018 Elementary Math(PYSP)
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MATH

14

M: +1.00/-0.33

Let S be the parallelogram obtained by joining the mid-points of the parallelogram T. Consider the following statements:
1) The ratio of area of T so that of S is 2 : 1.
2) The perimeter of S is half of the sum of diagonals of T.
Which of the above statements is/are correct?

[CDS-II 2018 Elementary Math(PYSP)]

A 1 only

B 2 only

C Both 1 and 2

D Neither 1 nor 2