Circle question

  • #1

Homework Statement



A moving point P is such that the length of the tangent from P to the circle x2+y2=16 is equal to the distance of P from point (8,8). Show that the locus of P is the straight line x+y=9.

Homework Equations





The Attempt at a Solution



I sketched a graph for this, but it doesn't seems to help me a lot in solving this question. Can anyone give me some hints? Thanks...
 

Answers and Replies

  • #2
311
1
Well, let the point P be (a,b). What is the length of the tangent to the circle? What is its distance from (8,8)? Equate the two.
 

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