Question

[
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

# 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

Solution