A) \[y=3\]
B) \[y=-3\]
C) \[y=2\]
D) \[y=0\]
Correct Answer: A
Solution :
Given, equation of parabola is \[{{x}^{2}}+8y-2x=7\]\[\Rightarrow \]\[{{x}^{2}}-2x+8y-7=0\] \[\Rightarrow \]\[{{x}^{2}}-2x+1+8y-7-1=0\]\[\Rightarrow \] \[{{(x-1)}^{2}}+8y=8\] \[\Rightarrow \] \[{{(x-1)}^{2}}=-8(y-1)\]\[\Rightarrow \]\[{{(x-1)}^{2}}=-4.2(y-1)\] Here, \[a=2\]. \[\therefore \] Equation of directrix is \[y-1=2\] i.e., \[y=3\].You need to login to perform this action.
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