Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Question
If a,b,c,d are in continued proportion, prove that:
$$\cfrac {(a-b)^3}{(b-c)^3}=\cfrac a d$$
Open in App
Solution
Verified by Toppr
Was this answer helpful?
0
Similar Questions
Q1
If
a
,
b
,
c
,
d
are in continued proportion, prove that
a
:
b
+
d
=
c
3
:
c
2
d
+
d
3
.
View Solution
Q2
If
a
,
b
,
c
,
d
are in continued proportion, prove that
a
:
d
=
tripicated ratio of
(
a
−
b
)
:
(
b
−
c
)
.
View Solution
Q3
If
a
,
b
,
c
,
d
are in continued proportion, prove that
a
2
c
+
a
c
2
:
b
2
d
+
b
d
2
=
(
a
+
c
)
3
:
(
b
+
d
)
3
.
View Solution
Q4
If
a
,
b
,
c
,
d
are in continued proportion, prove that
√
a
2
+
c
2
:
√
b
2
+
d
2
=
√
a
c
+
c
3
a
:
√
b
d
+
d
3
b
.
View Solution
Q5
If
a
,
b
,
c
are in continued proportion, then prove that
b
b
+
c
=
a
a
+
b
View Solution