Question

1. If a, b, c, d are in G.P., then
(b - c)2 + (c- a)2 + (d - b)2 in equal to
(a) (a - d)2
(b) (ad)2
(c)(a + d)2
(d) (a/d)2​

Answer 1

Step-by-step explanation:

If a,b,c,d are in G.P, then the value of

Let y=(a−c)

2

+(b−c)

2

+(b−d)

2

−(a−d)

2

y=a

2

−2ac+c

2

+b

2

−2bc+c

2

+b

2

−2bd+d

2

−(a

2

−2ad+d

2

)

y=2(b

2

−ac)+2(c

2

−bd)+2(ad−bc)

As a,b,c,d are in GP then b

2

−ac=0,c

2

−bd=0 and ad=bc

So y=0