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CAn some 1 SOlve this locus Q???? (1 Viewer)

david2004

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(A) Given the points A(4,0), B(-2,0) and P(X,Y) find the gradient of ap and bp. I did that and my answer was

Y/x-4 and y/x+2 respectively

then part b states

(B) Hence show that the equation of the locus of the point P(x,y)
which moves so that angle APB is a right angle is x sqaured +y squared - 2x - 8=0

thats how the qustion is worded exactly. I would appreciate some help Thx.
 

evilc

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here is my solution, enjoy :)

[EDIT]: locus is a circle with centre (1,0)
 
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