Question

trace the curve y^2(a^2+x^2)=x^2(a^2-x^2​

Answer 1

Step-by-step explanation:

We let x=rcosθ and y=rsinθ . Then we solve for r .

y2(a+x)r2sin2θ(a+rcosθ)rcosθ(sin2θ+cos2θ)r⇒=x2(a−x)=r2cos2θ(a−rcosθ)=a(cos2θ−sin2θ)=acos2θ/cosθx=acos2θy=atanθcos2θ

So, let