3.a is : A particle is moving with velocity v = (yi + xj), where K is a constant. The general equation for its path [AIEEE 2010, 4/144] (1) y = x2 + constant (2) ya = x + constant (3) xy = constant (4) y2 = x2 + constant I k aroll around it If the need

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[ begin{aligned} text { Given velovity } &left.=k(y hat{imath}+z)^{4}right) &=k y hat{imath}+k x hat{jmath} &=v x i+v y hat{j} end{aligned} ] Whese ( V_{2}, ) Vy are Comyprentel along x andy divetions [ frac{d x}{d t}=k y, frac{d y}{d t}=k x ] ( Rightarrow quad alpha t=d t ) [ begin{aligned} & frac{d x}{k y}=frac{d y}{k x} Rightarrow x d x &=y d y end{aligned} ] integs athor [ Rightarrow quad x^{2}+c=y^{2} ] when ( varepsilon^{prime}= ) integsation Constant

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