What does faustus conjure for the duke?

When being at the court with the Duke of Vanholt, Faustus conjured up beautiful illusions to win his favor, this is as much as the reader gets to know so it might be said that the correct option is B: it is unknown. However, then it might be seen that he gave the duchess some grapes as she requested. 

coordinates of r(b,c)

slope of nm is 0.

step-by-step explanation:

the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

the midpoint of the line segment nk is given by

∴r(b,c)

the slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

slope of rs is

hence

coordinates of r(b,c)

and slope of nm is 0.