Two corners of a square plate as shown in Fig. (a) are folded to make it appear like Fig. (b). B...

Two corners of a square plate as shown in Fig. (a) are folded to make it appear like Fig. (b). Both corners are put together at centre of square ' \( O \) '. If \( O \) is taken to be origin \( (0,0) \), the centre of mass of Fig. (b) will be at
(a)
(b)
(1) \( \left(-\frac{a}{8}, 0\right) \)
(2) \( \left(-\frac{a}{6}, 0\right) \)
(3) \( \left(\frac{a}{12}, 0\right) \)
(4) \( \left(-\frac{a}{12}, 0\right) \)