Curve \( y-x \) at an instant for a wave travelling along \( \mathrm{x} \)-axis on a string is...

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Curve \( y-x \) at an instant for a wave travelling along \( \mathrm{x} \)-axis on a string is shown. Slope at the point A on the curve, as shown, is \( 53^{\circ} \).
\( P \)
(1) Transverse velocity of the particle at point A is positive if the wave is travelling along positive \( \mathrm{x} \)-axis.
(2) Transverse velocity of the particle at point A is positive if the wave is travelling along negative \( \mathrm{x} \)-axis
(3) Magnitude of transverse velocity of the particle at point \( \mathrm{A} \) is lesser than wave speed.
(4) Both (1) \& (3)
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