1.

the slope of one ...............

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Solution :LET tangent of ELLIPSE is `y=mx pm sqrt(4m^(2)+1/2)`
It is also tangent to circle Hence `|sqrt(4m^(2)+1/2)/sqrt(m^(2)+1)|=1`
`implies 4m^(2)+1/2 = m^(2)+1 implies 3m^(2) =1/2`
`implies m^(2) =1/6 implies m = pm 1/sqrt(6) implies a=1, b=6`


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