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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
Nature of the...
Question
Nature of the roots of the quadratic equation
2
x
2
−
2
√
6
x
+
3
=
0
is:
A
Real, irrational, unequal
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B
Real, rational, equal
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C
Real, rational, unequal
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D
Complex
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Solution
The correct option is
B
Real, rational, equal
(B)
b
2
−
4
a
c
=
(
−
2
√
6
)
2
−
4
(
2
)
(
3
)
=
24
−
24
=
0
∴
Real, rational, equal
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