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Byju's Answer
Standard X
Mathematics
Quadratic Equations
If the roots ...
Question
If the roots of
2
x
2
−
a
x
−
a
2
=
0
are
x
1
,
x
2
then
A
x
1
=
−
2
x
2
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B
x
1
=
−
a
2
2
x
2
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C
x
1
=
−
x
2
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D
x
1
=
2
x
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Solution
The correct option is
C
x
1
=
−
2
x
2
Equation
2
x
2
−
a
x
−
a
2
=
0
Then sum of roots =
x
1
+
x
2
=
−
a
2
2
Or product of roots =
x
1
x
2
=
−
a
2
Then
x
1
=
−
a
2
x
2
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