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Cicles drawn on the diameter as focal distance of any point lying on the parabola `x^(2)-4x+6y+10 =0` will touch a fixed line whoose equation is -

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Cicles drawn on the diameter as focal distance of any point lying on the parabola `x^(2)-4x+6y+10 =0` will touch a fixed line whoose equation is -
A. y=2
B. y=-1
C. x+y=2
D. x-y=2
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Correct Answer - B
`x^(2)-4x+6y+10=0`
`rArr(x-2)^(2)=-6(y+1)`
circle drawn on focal distance as diameter always touch the tanget at the vertex
i.e., `y+1=0" " rArry=1`
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