Maths Question

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J

Jack.Cork

New Member
Jun 8, 2011
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11) The point D, E and F have co-ordinates (-2,0), (0,-1) and (2,3) respectively.
i) calculate the gradient of DE
ii) Find the equation of the line through F, parallel to DE giving your answer in the from ax+by+c=0
iii) By calculating the gradient of EF, show that DEF is a right angled triangle.
iv) Calculate the length of DF
v) use the results of parts iii) and iv) to show that the equation of the circle which passes through D, E and F is given by the equation: x^2+y^2-3y-4=0
 
StereoTypist said:
Didn't TFWNN teach mathematics at High School?

This should be a doddle for him.

Where are you TFWNN?
Click to expand...

I think you will find the answer is

For right angled triangle the center of the circle is the midpoint of DF (Thales theorem) the radius is the distance between this midpoint and E (where is the right angle)
 
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