1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
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
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Modulus
MATHEMATICS
Watch in App
Explore more
Absolute Value Function
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app
