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Byju's Answer
Standard XII
Mathematics
Absolute Value Function
Prove that:a ...
Question
Prove that :
a
a
+
b
a
+
2
b
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
=
9
a
+
b
b
2
Open in App
Solution
Let
LHS
=
∆
=
a
a
+
b
a
+
2
b
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
Δ
=
3
a
+
3
b
3
a
+
3
b
3
a
+
3
b
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
Applying
R
1
→
R
1
+
R
2
+
R
3
=
3
a
+
b
1
1
1
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
Taking
out
3
a
+
b
c
o
m
m
o
n
from
R
1
=
3
a
+
b
0
0
1
2
b
-
b
a
+
b
-
b
2
b
a
Applying
C
1
→
C
1
-
C
2
and
C
2
→
C
2
-
C
3
=
3
a
+
b
b
2
0
0
1
2
-
1
a
+
b
-
1
2
a
Taking
out
b
c
o
m
m
o
n
from
C
1
and
C
2
=
3
a
+
b
b
2
×
3
=
9
a
+
b
b
2
=
RHS
Suggest Corrections
1
Similar questions
Q.
Show that
∣
∣ ∣
∣
a
a
+
b
a
+
2
b
a
+
2
b
a
a
+
b
a
+
b
a
+
2
b
a
∣
∣ ∣
∣
=
9
b
2
(
a
+
b
)
.
Q.
∣
∣ ∣
∣
a
+
b
a
+
2
b
a
+
3
b
a
+
2
b
a
+
3
b
a
+
4
b
a
+
4
b
a
+
5
b
a
+
6
b
∣
∣ ∣
∣
=
Q.
The value of determinant is
∣
∣ ∣
∣
a
+
b
a
+
2
b
a
+
3
b
a
+
2
b
a
+
3
b
a
+
4
b
a
+
4
b
a
+
5
b
a
+
6
b
∣
∣ ∣
∣
is ________.
Q.
If A and B are symmetric matrices of the same order, then
(i) AB – BA is a _________.
(ii) BA – 2BA is a _________.
Q.
If a, b, c are in continued proportion , then prove that
(i)
a
a
+
2
b
=
a
-
2
b
a
-
4
c
(ii)
b
b
+
c
=
a
-
b
a
-
c
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