1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Discriminant
(α₁,α₂), (α₂,...
Question
(α₁,α₂), (α₂,α3) and (α3,α₁) are respectively the roots of x² - 2ax + 2 = 0, x² -2bx + 3 = 0, x² - 2cx + 6 = O. If α₁,α₂,α3 € R+, then the value of a + b + c is equal to (1) 2 (3) 6 (2) 3 (4) 12
Open in App
Solution
Suggest Corrections
216
Similar questions
Q.
If
α
,
β
,
γ
are the roots of the cubic
x
3
−
2
x
+
3
=
0
, then value of
1
α
3
+
β
3
+
6
+
1
β
3
+
γ
3
+
6
+
1
γ
3
+
α
3
+
6
is equal to
Q.
If
α
is non-real and
α
=
5
√
1
,
then the value of
2
∣
∣
1
+
α
+
α
2
+
α
3
−
α
−
1
−
α
−
2
∣
∣
is equal to
Q.
If
α
is nonreal and
α
=
5
√
1
then the value of
2
|
1
+
α
+
α
2
+
α
3
+
α
−
1
|
is equal to
Q.
If
α
,
β
are the roots of the quadratic equation
x
2
−
p
x
+
q
=
0
, then
(
α
+
β
)
x
−
(
α
2
+
β
2
)
x
2
2
+
(
α
3
+
β
3
)
x
3
3
−
…
∞
=
Q.
If
α
,
β
are roots of
x
2
−
x
+
1
=
0
then find
α
3
+
β
3
.
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
Discriminant
MATHEMATICS
Watch in App
Explore more
Discriminant
Standard X 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