A) \[{{y}^{2}}-4x-2y+9=0\]
B) \[{{y}^{2}}+4x+2y-9=0\]
C) \[{{y}^{2}}-4x+2y+9=0\]
D) \[{{y}^{2}}+4x-2y+9=0\]
Correct Answer: C
Solution :
Given, focus of parabola is\[(3,-1)\]and vertex is\[(2,-1)\]. Here, y-coordinate are same. So, axis of parabola will be parallel to\[x-\]axis. Here, \[a=3-2=1\] \[\therefore \]Equation of parabola is \[(y+1)2=4.1(x-2)\] \[\Rightarrow \] \[{{y}^{2}}+2y+1-4x+8=0\] \[\Rightarrow \] \[{{y}^{2}}+2y-4x+9=0\]
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