1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Intersection
One root is g...
Question
One root is greater than
2
and other smaller than
1
Open in App
Solution
Condition I:
f
(
1
)
<
0
⇒
4
<
0
⇒
m
ϵ
ϕ
Condition II:
f
(
2
)
<
0
⇒
m
>
10
Intersection gives
m
ϵ
ϕ
Suggest Corrections
0
Similar questions
Q.
Find the value of
m
such that one root is greater than
2
and the other root is smaller than
1
of the quadratic equation
x
2
−
(
m
−
3
)
x
+
m
=
0
(
m
∈
R
)
.
Q.
The number of integral value(s) of
a
for which one root of the equation
(
a
−
5
)
x
2
−
2
a
x
+
a
−
4
=
0
is smaller than
1
and the other greater than
2
,
is
Q.
x
2
−
(
m
−
3
)
x
+
m
=
0
(
m
∈
R
)
be a quadratic equation. Find the value of
m
for which, o
ne root is smaller than
2
. The other root is greater than
2
.
Q.
If one root of the quadratic equation
2
x
2
−
2
k
x
+
k
−
4
=
0
is smaller than
1
& other is greater than
2
, then the complete set of values of
k
is
Q.
The number of integral value(s) of
a
for which one root of the equation
(
a
−
5
)
x
2
−
2
a
x
+
a
−
4
=
0
is smaller than
1
and the other greater than
2
,
is
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
Where Friction?
MATHEMATICS
Watch in App
Explore more
Intersection
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