Question

If a,b,c are in continued proportion prove that a²+ab+b²:b²+bc+c²=a:c


pls help me fast​

Answer 1

Step-by-step explanation:

Here

b

a

=

c

b

∴b

2

=ac

i)LHS=

b

2

+bc+c

2

a

2

+ab+b

2

=

ac+bc+c

2

a

2

+ab+ac

[Putting b

2

=ac]

=

c(a+b+c)

a(a+b+c)

=

c

a

=RHS