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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
x2+3ax+2a2=0 ...
Question
x
2
+
3
a
x
+
2
a
2
=
0
If the above equation has roots
α
,
β
and it is given that
α
2
+
β
2
=
5
, then the product of roots is
A
2
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B
1
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C
−
3
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D
3
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Solution
The correct option is
C
2
α
+
β
=
−
3
a
α
β
=
2
a
2
α
2
+
β
2
=
5
(
α
+
β
)
2
−
2
α
β
=
5
9
a
2
−
2
(
2
a
2
)
=
5
5
a
2
=
5
a
=
±
1
Product of the roots,
α
β
=
2
a
2
=
2
(
1
)
=
2
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0
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Q.
x
2
+
3
a
x
+
2
a
2
=
0
If the above equation has roots
α
,
β
and it is given that
α
2
+
β
2
=
5
, then the value of
a
is
Q.
Let us consider a quadratic equation
x
2
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x
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If this equation has roots
α
,
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and it is given that
α
2
+
β
2
=
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, then v
alue of discriminant,
D
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Q.
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2
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x
+
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=
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, then
α
2
+
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2
is
Q.
If
α
and
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then
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/
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