Question

If a,b,c,d are in G.P. then prove that:
( {a}^{2} - {b}^{2} )( {c}^{2} - {d)}^{2} = {( {b}^{2} - {c}^{2})}^{2}(a
2
−b
2
)(c
2
−d)
2
=(b
2
−c
2
)
2​

Answer 1

Answer:

a, b, c, d are in G.P

a

2

+b

2

=a

2

(1+r

2

)

b

2

+c

2

=b

2

(1+r

2

)

c

2

+d

2

=c

2

(1+r

2

)

R

1

=

a

2

+b

2

b

2

+c

2

=

a

2

b

2

=r

2

R

2

=

b

2

+c

2

c

2

+d

2

=

b

2

c

2

=r

2

R

1

=R

2

=r

2

=R

So we have

a

2

+b

2

;

b

2

+c

2

=R(a

2

+b

2

)

c

2

+d

2

=R(b

2

+c

2

)

are in G.P.

solution

Answer 2

Answer:

this answer is too long bcoz

ye questions numerical h