We simplify the given expression by first evaluating the complex logarithm and applying the properties of trigonometric functions. After simplification, we find the value of the expression to be \( 4\sqrt{3} \).
LIST I (Type of the Matrix) | LIST II (Property) | ||
---|---|---|---|
A. | Symmetric Matrix | I. aij = aji, for values of i and j | |
B. | Hermitian Matrix | II. aij = āji, for values of i and j | |
C. | Skew-Hermitian matrix | III. aij = -āji, for values of i and j | |
D. | Skew-Symmetric matrix | IV. aij = -aji, for values of i and j |
Europium (Eu) resembles Calcium (Ca) in the following ways:
(A). Both are diamagnetic
(B). Insolubility of their sulphates and carbonates in water
(C). Solubility of these metals in liquid NH3
(D). Insolubility of their dichlorides in strong HCI
Choose the correct answer from the options given below: