Question

# You have been asked by your team leader in the IT company you work for to provide solutions to a number of problems involving coordinate geometry, vector geometry and calculus.

Present your findings in a form suitable to be read and used by a mix of technical and non-technical colleagues. Show methods used and check your answers.Where appropriate use online graphing software to check answers. Identify each of the following shapes using appropriate mathematical descriptions. (a) Find the equation of the line through the points (10, 20) and (55, 200) in the form У = mx+c (b)Find the equation of the line through the points (100, 20) and (60, 100) in the form ах + by:c where a, b and c are integer constants (c) Find the equation of the circle centre (8, 12) radius 5 in the form X´+y+ax+by+c=0 where a, b and c are constants to be found (d)Find the equation of the circle centre (200, 100) radius 50 in the form x'+ y'+ax+by+c=0 where a, b and c are constants to be found (e) The perpendicular bisector of A(15, 80) and B(185, 220)

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