Question

Parametric equation of rectangular hyperbola $xy=c^2$ is $x=ct\&y=\frac{c}{t}$ where $tϵR$.

• A. True
• B. False

Answer 1

The correct option is B

False

Parametric equation of rectangular hyperbola $xy=c^2$ is $x=ct\&y=\frac{c}{t}$

When we substitute x & y in the equation of hyperbola

$ct\times \frac{c}{t}=c^2=$R.H.s

so,given points are parametric equation of rectangular hyperbola $xy=c^2$

But domain is given wrong 't' can't take all the real values when $t=0y=\frac{c}{0}$ is NOT defined.

so,t should be R-{0}

That is why give statement is false.