Let the lengths of intercepts on $x$-axis and $y$-axis made by the circle $x^2+y^2+a x+2 a y+c=0,(a

Question

Let the lengths of intercepts on $x$-axis and $y$-axis made by the circle $x^2+y^2+a x+2 a y+c=0,(a<0)$ be $2 \sqrt{2}$ and $2 \sqrt{5}$, respectively. Then the shortest distance from origin to a tangent to this circle which is perpendicular to the line $x+2 y=0$, is equal to :

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Let the lengths of intercepts on \(x\)-axis and \(y\)-axis made by the circle \(x^2+y^2+a x+2 a y+c=0,(a<0)\) be \(2 …

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Let the lengths of intercepts on \(x\)-axis and \(y\)-axis made by the circle \(x^2+y^2+a x+2 a y+c=0,(a&lt;0)\) be \(2 …

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Let the lengths of intercepts on \(x\)-axis and \(y\)-axis made by the circle \(x^2+y^2+a x+2 a y+c=0,(a<0)\) be \(2 …