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Question

Focus of the parabola 4x212x+8y+13=0 is

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Solution

Parabola-
4x212x+3y+13=0
4x212x+9+8y+4=0
3y+4=(4x212x+9)
8(y+12)=4(x32)
(x32)2=2(y+12)
Compare with x2=4ay
a=12
Now focus is at (32a12)=(32,1)

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