Question

Evolute of rectangular hyperbola

Answer 1

Answer:

The question requires you to find the parametric equations of the evolute of the curve xy=c^2 .

For some reason I keep getting wrong answer.

I use parametric form, x=ct, y=c/t , and so x'=c, y'=-c/t^2, x''=0, y''=2c/t^3 .

Using formula \displaystyle \rho =\frac{\frac{c^3}{t^3}(t^4+1)^{3/2}}{\frac{2c^2}{t^3}}

Answer 2

Answer:

A rectangle hyperbola is also known as equilateral hyperbola The asymtotes of rectangular hyperbole are y = + x