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Standard XII
Mathematics
Sum of n Terms
Question
If
a
,
b
,
c
are A.P prove that:
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
Open in App
Solution
Verified by Toppr
RHS
=
4
b
2
−
4
a
c
=
4
(
a
+
c
2
)
2
−
4
a
c
=
4
4
(
a
2
+
c
2
+
2
a
c
)
−
4
a
c
=
a
2
+
c
2
−
2
a
c
=
(
a
−
c
)
2
=
L
H
S
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Similar Questions
Q1
If
a
,
b
,
c
are A.P prove that:
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
View Solution
Q2
If
a
,
b
,
c
are in A.P. then prove that
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
.
View Solution
Q3
If a, b, c are in AP, prove that
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
.
View Solution
Q4
If a, b, c are in AP prove that
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
.
View Solution
Q5
If a, b, c are in A.P., then
(
a
−
c
)
2
=
4
(
b
2
−
a
c
)
.
View Solution