Find the number of integral values of pa...

Find the number of integral values of parameter 'a' or which three chords of the ellipse `x^2/(2a^2)+y^2/a^2=1` (other than its diameter) passing through the point `P(11a,-a^2/4)` are bisected by the parabola `y^2=4ax`.

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Find the number of integral values of parameter 'a' or which three chords of the ellipse `x^2/(2a^2)+y^2/a^2=1` (other than its diameter) passing through the point `P(11a,-a^2/4)` are bisected by the parabola `y^2=4ax`.

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