You lost me from the start. "ABCD is a square of length 2" This calls into question all the rest that may seem plausible on the surface. To me, it is a mass of confusion. Perhaps a diagramme?
aragraph
ABCD is a square of length 2.C1 is circle inscribed in square and C2 is circle circumscribing square .P and Q are points on C1and C2 respectively.R is fixed point on fixed line L in same plane .circle C touch C1 and L externally. point R coincide over B.S is equidistant from L and R. then
(1)[(PA)^2+(PB)^2+(PC)^2+(PD)^2]/[(QA)^2+(QB)^2+(QC)^2+(QD)^2] =
(2)let Line L joining any two adjacent points of square (may be vertex points ,this is the wording used in book) then locus of center of circle C is -----
(3)Line L passes through A and C and a line parallel to AC passes through B. if locus of S cuts this line at two points T1 and T2 and diagonal BD at T3.Find area formed by TRIANGLE T1T2T3.
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To start, what is the "reason" for calling this a "paragraph" geometry problem?
This is to make your question more "readable":
ABCD is a square with side length = 2.
C1 is a circle inscribed in square ABCD and C2 is a circle circumscribing square ABCD.
P and Q are points on the circumference of circle C1 and circle C2 respectively.
R is a fixed point on fixed line L in same plane .
Circle C is tangent to circle C1 and line L externally.
Point R coincides over point B.
S is equidistant from line L and point R.
Then :
(1)[(PA)^2+(PB)^2+(PC)^2+(PD)^2]/[(QA)^2+(QB)^2+(QC)^2+(QD)^2] = ?
(2)Let Line L joining any two adjacent points of square (may be vertex points ,this is the wording used in book) then locus of center of circle C = ?
(3)Line L passes through points A and C and a line parallel to AC passes through point B. If locus of S cuts this line at two points T1 and T2 and diagonal BD at point T3, then area formed by TRIANGLE T1T2T3 = ?
...I'm still as lost as TKHunny
Are you the person that posted this same problem here:
http://www.sosmath.com/CBB/viewtopic...f60fd4d11c02e9