# Hello I am stuck on part B of ts question Tried to find point P by doing dx=0 and then sub

Excerpt
tangent to the curve is parallel to the y-axis and at the point Q on the curve the tangent to the curve is parallel to the r-axis. (b) Show that the distance PQ is kv5, where k is a rational number to be determined. [8]

Hello I am stuck on part B of ts question Tried to find point P by doing dx=0 and then sub it into the curve where I got P = (6,1.5) Did the same with Q but my coordinates were a lot more complex and might have made an error in my working (they were ((9-3√3)/4, -(3√3)/4)) How do I answer ts question? Thank you!!! Transcribed Image Text: 6.
In ts question you must show detailed reasoning.
The diagram shows the curve with equation 4xy = 2(x² +4y) – 9x.
dy 4x – 4y – 9
(a) Show that Ax–16y
[3]
At the point P on the curve the tangent to the curve is parallel to the y-axis and at the point Q on the
curve the tangent to the curve is parallel to the r-axis.
(b) Show that the distance PQ is kv5, where k is a rational number to be determined.
[8]