if a is not equal to b and a:b is the duplicate ratio of (a + c) and (b + c) so that a , c and b are in continued proportion
Answers
Answered by
8
a/c=c/b since continued proportion
c^2=ab
a/b=(a+c)^2/(b+c)^2
solving R.H.S
( a^2+c^2+2ac)/ (b^2+c^2+2bc)
take a and b common
a(a+b+2c)/b(b+a+2c)
a+b+2c will be cancelled
a/b
proved L.H.S =R.H.S
c^2=ab
a/b=(a+c)^2/(b+c)^2
solving R.H.S
( a^2+c^2+2ac)/ (b^2+c^2+2bc)
take a and b common
a(a+b+2c)/b(b+a+2c)
a+b+2c will be cancelled
a/b
proved L.H.S =R.H.S
TapasJoshi:
thx sister
welcome bro
Similar questions