Question

if a b and c are in continued proportion. (I)(a+b)(b+c)-(a+c)(b+d)=(b-c)2. (ii) ( a-b/c +a-c/b)^2 - (d-b/c + d-c/b)= (a-d)2 (1/C2 - 1/b2). pls help​

Answer 1

since A,B,C and D are in continued proportion.

therefore

the left hand side of the equation is:

since from (1)

hence L.H.S.=



hence proved.