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If the normal to the ellipse (x^(2))/9+(...

If the normal to the ellipse `(x^(2))/9+(y^(2))/4=1` which is farthest from its centre be `(x_(1))/a+y/b=1` then value of `[a^(2)+b^(2)]` is equal to (where [.] represents the GIF)

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