Question

Identify the type of polar graph for the equation: r2 = 9cos 2θ aLimacon with inner loop bCardioid cDimpled limacon dConvex limacon eRose Curve fCircle gLemniscate

Answer 1

In the question, we are asked to identify the type of polar graph for the equation.

$r^2=9\cos 2\theta$

Explanation

The formulas that generate the graph of a lemniscate is given by

$\displaystyle{r}^2={a}^2\cos 2\theta​​\text{ and }r^2=a^2\sin 2\theta\text{ where a}\ne0$

Therefore from the given equation

$r^2=3^2\cos 2\theta$

Answer: g