1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XI
Mathematics
Transformation of Roots: Linear Combination of Roots
If α, β are t...
Question
If
α
,
β
are the roots of
2
x
2
+
3
x
+
4
=
0
, then the equation whose roots are
2
α
,
2
β
is
A
4
x
2
+
3
x
+
4
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x
2
+
3
x
+
8
=
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x
2
+
3
x
+
4
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
x
2
+
3
x
+
2
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
x
2
+
3
x
+
8
=
0
f
(
x
)
=
2
x
2
+
3
x
+
4
f
(
x
)
=
0
→
α
,
β
are the roots
The equation whose roots are
2
α
,
2
β
is,
f
(
x
2
)
=
0
⇒
2
(
x
2
)
2
+
3
(
x
2
)
+
4
=
0
⇒
x
2
+
3
x
+
8
=
0
Suggest Corrections
0
Similar questions
Q.
If
α
,
β
are the roots of
2
x
2
+
3
x
+
4
=
0
, then the equation whose roots are
2
α
,
2
β
is
Q.
If
α
,
β
are the roots of
2
x
2
+
3
x
+
4
=
0
, then the equation whose roots are
2
α
,
2
β
is
Q.
If
α
and
β
are roots of quadratic equation
x
2
−
1
=
0
, then find the equation whose roots are
2
α
β
and
2
β
α
Q.
If
α
,
β
are the roots of the equation
2
x
2
+
4
x
−
5
=
0
, the equation whose roots are the reciprocals of
2
α
−
3
and
2
β
−
3
is
Q.
If
α
,
β
are the roots of the equation
a
x
2
+
b
x
+
c
=
0
, then form an equation whose roots are:
2
α
,
2
β
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
Transformation of Roots: Linear Combination of Roots
MATHEMATICS
Watch in App
Explore more
Transformation of Roots: Linear Combination of Roots
Standard XI 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