1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XIII
Mathematics
Nature of Roots
If both the r...
Question
If both the roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
are zero, then
A
b
=
0
,
a
≠
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
c
=
0
,
a
≠
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a
=
b
=
c
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
b
=
c
=
0
,
a
≠
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
b
=
c
=
0
,
a
≠
0
We know that, for both the roots to be zero,
b
=
c
=
0
,
a
≠
0
Suggest Corrections
13
Similar questions
Q.
If the roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
are opposite in sign and positive root is greater in magnitude, then
Q.
If the equation
a
x
2
+
2
b
x
+
c
=
0
and
a
x
2
+
2
c
x
+
b
=
0
,
a
≠
0
,
b
≠
c
, have a common root, then their other roots are the roots of the quadratic equation
Q.
Let
a
,
b
,
c
be real numbers such that
a
+
b
+
c
<
0
and the quadratic equation
a
x
2
+
b
x
+
c
=
0
has imaginary roots. Then
Q.
If the roots of the equation:
a
x
2
+
b
x
+
c
=
0
,
a
>
0
be each greater than unity, then:
Q.
Which of the following equation has exactly one root as
0
?
(
a
,
b
,
c
>
0
)
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
Explore more
Nature of Roots
Standard XIII 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