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Topic review (newest first)
- bobbym
- 2012-11-10 22:33:26
Hi danthemaths;
First you should always have a drawing to help you think about the question and also to pose it for others.
Perpendicular Equation to line AB (through B): y=-x+2
Although it does not matter I am not getting that equation for the perpendicular.
- bob bundy
- 2012-11-10 22:23:01
hi Dan,
Welcome to the forum.
How much was given in this question?
Just points A and B is not enough to fix one circle, so I'll assume you were told the equation as well.
So (1,-1) is the centre of the circle. Let's call it O.
Then from A to O is the same as from O to C. (as you want AOC to be a straight line and diameter.)
That's enough to just count across and down from A to O and hence find C without needing perpendicular lines.
Bob
- danthemaths
- 2012-11-10 21:52:00
I have a question saying "Hence find the coordinates of the point C such that AC is a diameter of this circle".
I already know:
Points: A(0,2) B(4,-2)
Equation of line AB: x^2+y^2-2x+2y=8 => and simplify that you get: (x-1)^2+(y+1)^2=10
Perpendicular Equation to line AB (through B): y=-x+2
I do not know how to work this out! Could you please explain to me step by step if u can on how to solve this?
Thanks in advance
Dan