1.

If a/b=c/d,prove that each ratio is equal to the ratio. a^2-c^2/ab-cd​

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Answer:

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Step-by-step explanation:

a,B,C,d are in continued proportion

⇒

b

a

=

c

b

=

d

c

=k

⇒a=bk,b=ck,c=DK,

To prove a

2

+b

2

+c

2

)(b

2

+c

2

+d

2

)=(ab+bc+cd+)

2

substituting a,b,c

⇒((bk)

2

+(ck)

2

+(dk)

2

)(b

2

+c

2

+d

2

)=(b

2

k+c

2

k+d

2

k)

2

⇒k

2

(b

2

+c

2

+d

2

)(b

2

+c

2

+d

2

)=k

2

(b

2

+c

2

+d

2

)

2

⇒(b

2

+c

2

+d

2

)

2

=(b

2

+c

2

+d

2

)

2

HENCE proved.


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