The locus of midpoints of the chords of the ellipse \( \mathrm{P}^{...

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The locus of midpoints of the chords of the ellipse
\( \mathrm{P}^{145} \) \( 2 x^{2}+3 y^{2}=4 \) each of which makes an angle \( 45^{\circ} \) with

W. the \( x \)-axis is
(1) \( 3 x+4 y=0 \)
(2) \( 4 x+3 y=0 \)
(3) \( 3 x+2 y=0 \)
(4) \( 2 x+3 y=0 \)
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