Question

If X, Y, Z are in G.p thenx/y​

Answer 1

Yo yo Mate

This is M J

Solutions-

According to G.p

x/y=y/z

If They R In G.P

Answer 2

Answer:

∴x  

2

+y  

2

,xy+yz,y  

2

+z  

2

 

are also in GP.

Step-by-step explanation:

x , y , z are in G.P.

⇒y  

2

=xz

Then x  

2

+y  

2

,xy+yz,y  

2

+z  

2

 

⇒x  

2

+xz,y(x+z),xz+z  

2

 

⇒x(x+z),y(x+z),z(x+z)

So [y(x+z)]  

2

=x(x+z)z(x+z)

⇒y  

2

(x+z)  

2

=xz(x+z)  

2

 

∴x  

2

+y  

2

,xy+yz,y  

2

+z  

2

 

are also in GP.