Question

If p, q, r are in continued proportion, prove that (p+q) 2 (q+r) 2 = p r

Answer 1

Answer:

Step-by-step explanation:

Correct option is

A

(p+q)

If a,b,c are in continued proportion, then b  

2

=ac or b=  

ac

​

 

So, x=  

p−q

p+q

​

×(p  

2

−q  

2

)

​

 

Formula

a  

2

−b  

2

=(a+b)(a−b)

Hence,

x=  

p−q

p+q

​

×((p+q)(p−q))

​

 

x=  

(p+q)(p+q))

​

 

x=p+q