1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Equation of Perpendicular from a Point on a Line
This inequali...
Question
This inequality
|
a
⋅
b
|
≤
|
a
|
⋅
|
b
|
is called
A
Cauchy - schwartz inequality
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Triangle inequality
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Rolle's Theorem
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Lagrange's mean value theorem
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
Cauchy - schwartz inequality
According to Cauchy - Schwartz inequality-
|
a
⋅
b
|
≤
|
a
|
⋅
|
b
|
Suggest Corrections
0
Similar questions
Q.
What is the maximum value of the function
a
sin
θ
+
b
cos
θ
using Cauchy-Schwarz inequality.
Q.
For positive reals
a
,
b
,
c
>
0
, find the maximum value of
a
b
c
(
a
+
b
+
c
)
using
Cauchy-Schwarz inequality.
Q.
What is the condition for Cauchy-Schwarz Inequality?
Q.
What does Cauchy-Schwarz inequality tell us?
Q.
Using Lagrange's mean value theorem, prove that
(b − a) sec
2
a < tan b − tan a < (b − a) sec
2
b
where 0 < a < b <
π
2
.
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
Foot of Perpendicular, Image and Angle Bisector
MATHEMATICS
Watch in App
Explore more
Equation of Perpendicular from a Point on a Line
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