Two lines draw through the point \( P(4,0) \) divide the area bounded by the curves \( y=\sqrt{2...

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Two lines draw through the point \( P(4,0) \) divide the area bounded by the curves \( y=\sqrt{2} \sin \frac{\pi x}{4} \) and \( x \)-axis, between the linea \( x=2 \), and \( x=4 \), in
\( \mathrm{P} \) to three equal parts. Sum of the slopes of the drawn lines is equal to

W.
(A) \( -\frac{2 \sqrt{2}}{\pi} \)
(B) \( -\frac{\sqrt{2}}{\pi} \)
(C) \( -\frac{2}{\pi} \)
(D) \( -\frac{4 \sqrt{2}}{\pi} \)
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