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In the given figure, vertices of Delta A...

In the given figure, vertices of `Delta ABC` lie on `y = f(x) = ax^2 + bx + c.` The `DeltaABC` is right angled isosceles triangle whose hypotenuse `AC = 4sqrt2` units. Number of integral values of `k` for which one root of `f(x) = 0` is more than `k` and other less than `k`

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