Question: Insert vectors into a plot

I got the plot of an ellipsis and a hyperbola using the following code:

plot([sqrt((1^2 - 0.5)*(1 - x^2/(2^2 - 0.5))), -sqrt((1^2 - 0.5)*(1 - x^2/(2^2 - 0.5))), sqrt((1^2 - 2.5)*(1 - x^2/(2^2 - 2.5))), -sqrt((1^2 - 2.5)*(1 - x^2/(2^2 - 2.5)))], x = -2 .. 2, scaling = constrained, color = [blue, blue, red, red])

How can I get the two vectors n1,n2 as shown in the following picture (the intersection point of the curves defines the beginning of the vectors)

 

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