1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Sum of Infinite Terms of a GP
If a > 0, b...
Question
If
a
>
0
,
b
>
0
and
a
+
b
=
4
, find the maximum value of ab.
Open in App
Solution
given
a
+
b
=
4
,
a
>
0
,
b
>
0
We know that for a finite number of terms (real)
A.M
≥
G.M
Consider the terms to be
a
,
b
A.M
=
a
+
b
2
,
G.M
=
√
a
b
A.M
≥
G.M
a
+
b
2
≥
√
a
b
2
≥
√
a
b
a
b
≤
4
Maximum value of
a
b
is
4
Suggest Corrections
0
Similar questions
Q.
If the circle
x
2
+
y
2
+
4
x
+
22
y
+
a
=
0
bisects the circumference of the circle
x
2
+
y
2
−
2
x
+
8
y
−
b
=
0
(where
a
,
b
>
0
)
, then find the maximum value of
(
a
b
)
Q.
If
a
2
x
4
+
b
2
y
4
=
c
6
then the maximum value of xy
(
a
>
0
,
b
>
0
,
c
>
0
)
is:
Q.
If
a
b
=
2
a
+
3
b
where a > 0, b > 0, then find the minimum value of ab.
Q.
If
A
>
0
,
B
>
0
and
A
+
B
=
π
3
, then the maximum value of
tan
A
tan
B
is ?
Q.
If
a
,
b
∈
R
,
a
,
b
>
0
, then
a
b
≤
1
4
(
a
+
b
)
2
,
a
+
b
=
1
then Find the least value of
(
1
+
1
a
)
(
1
+
1
b
)
.
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
Geometric Progression
MATHEMATICS
Watch in App
Explore more
Sum of Infinite Terms of a GP
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