Question 14
Let $C$ be the graph of $xy=1,$ and denote by $C^*$ the reflection of $C$ in the line $y=2x.$ Let the equation of $C^*$ be written in the form
$$
12x^2+bxy+cy^2+d=0.
$$
Find the product $bc.$
$$
12x^2+bxy+cy^2+d=0.
$$
Find the product $bc.$