Match the Statements / Expressions in Column $I$ with the Statements / Expressions in Column $II$.
Column $I$ Column $II$
$(A)$ The minimum value of $\frac{x^2+2x+4}{x+2}$ for $x > -2$ is $(p)$ $0$
$(B)$ Let $A$ and $B$ be $3 \times 3$ matrices of real numbers,where $A$ is symmetric,$B$ is skew-symmetric,and $(A+B)(A-B)=(A-B)(A+B)$. If $(AB)^t=(-1)^k AB$,where $(AB)^t$ is the transpose of the matrix $AB$,then the possible values of $k$ are $(q)$ $1$
$(C)$ Let $a=\log_3 \log_3 2$. An integer $k$ satisfying $1 < 2^{(-k+3^{-a})} < 2$,must be less than $(r)$ $2$
$(D)$ If $\sin \theta = \cos \phi$,then the possible values of $\frac{1}{\pi}(\theta \pm \phi - \frac{\pi}{2})$ are $(s)$ $3$

  • A
    $(A) \rightarrow (r); (B) \rightarrow (q, s); (C) \rightarrow (r, s); (D) \rightarrow (p, r)$
  • B
    $(A) \rightarrow (r); (B) \rightarrow (p, q); (C) \rightarrow (r, p); (D) \rightarrow (p, s)$
  • C
    $(A) \rightarrow (r); (B) \rightarrow (q, s); (C) \rightarrow (r, s); (D) \rightarrow (p, s)$
  • D
    $(A) \rightarrow (q); (B) \rightarrow (q, r); (C) \rightarrow (r, s); (D) \rightarrow (s, q)$

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