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The (x, y) co-ordinates of the corners o...

The `(x, y)` co-ordinates of the corners of a square plate are `(0, 0)`, `(L, L)` and `(0, L)`. The edges of the plate are clamped and transverse standing waves are set up in it. If `u(x, y)` denotes the displacement of the plate at the point `(x, y)` at some instant of time, the possible expression `(s)` for `u` is (are) `(a = positive constant)`

A

1,2 and 3 are correct

B

1 and 2 are correct

C

2 and 4 are correct

D

1 and 3 are correct

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