A particle is moving with velocity \( \vec{v}=K(y \hat{i}+x \hat{j}) \), where \( K \) is a cons...

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A particle is moving with velocity \( \vec{v}=K(y \hat{i}+x \hat{j}) \), where \( K \) is a constant. The general equation for its path is
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(1) \( y=x^{2}+ \) constant
(2) \( y^{2}=x+ \) constant
(3) \( x y= \) constant
(4) \( y^{2}=x^{2}+ \) constant
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