Match the items given in List-$A$ with those of the items of List-$B$:
List-$A$List-$B$
$(A)$. The vertex of the parabola $y^2+4x-2y+3=0$ is$(I)$. $\left(\frac{5}{4}, 1\right)$
$(B)$. The vertex of the parabola $x^2+8x+12y+4=0$ is$(II)$. $\left(1, \frac{5}{4}\right)$
$(C)$. The focus of the parabola $y^2-x-2y+2=0$ is$(III)$. $\left(-\frac{1}{2}, 1\right)$
$(D)$. The focus of the parabola $x^2-2x-8y-23=0$ is$(IV)$. $(1, -1)$
$(V)$. $(-4, 1)$

The correct match is:

  • A
    $A-III, B-V, C-II, D-IV$
  • B
    $A-V, B-II, C-I, D-IV$
  • C
    $A-III, B-II, C-I, D-IV$
  • D
    $A-III, B-V, C-I, D-IV$

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