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Let ABCD be a parallelogram. Let m, n be...

Let ABCD be a parallelogram. Let m, n be
positive integers such that `n lt m lt 2n.`
Let AC = 2mn and `BD=m^(2)-n^(2)` . Let
`AB=(m^(2)+n^(2))//2` .
Statement - I : `AC gt BD`
Statement - II : ABCD is a rhombus.
Which one of the following is correct in
respect of the above statements ?

A

Both statement - I and statement -II are
true and statement - II is the correct
explanation of statement - I

B

Both statement -I and statement -II are
true but statement - II is not the correct
explanation of statement - I

C

Statement - I is true, but statement - II is false

D

Statement - II is true, but statement - I is false

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