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If-A-2c-a-c-b-B-c-a-0-and-C-1-c-a-1-b-are-three-points-then-prove-that-i-AB-2-BC-2-CA-2-c-2-1-c-1-2-ii-AB-2-BC-2-AC-2-

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Question Number 191498 by MATHEMATICSAM last updated on 24/Apr/23
If A(((2c)/a) , (c/b)), B((c/a) , 0) and C(((1 + c)/a) , (1/b)) are three points, then prove that, i. (((AB)^2 + (BC)^2 )/((CA)^2 )) = ((c^2 + 1)/((c − 1)^2 )) ii. (AB)^2 + (BC)^2 − (AC)^2 = ((2c(a^2 + b^2 ))/(a^2 b^2 ))
IfA(2ca,cb),B(ca,0)andC(1+ca,1b)arethreepoints,thenprovethat,i.(AB)2+(BC)2(CA)2=c2+1(c−1)2ii.(AB)2+(BC)2−(AC)2=2c(a2+b2)a2b2

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