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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
If the equati...
Question
If the equation 9x
2
+ 6kx + 4 = 0 has equal roots then k = ?
(a) 2 or 0
(b) −2 or 0
(c) 2 or −2
(d) 0 only
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Solution
(c) 2 or −2
It
is
given
that
the roots of the equation
(
9
x
2
+
6
k
x
+
4
=
0
)
are equal.
∴
(
b
2
−
4
a
c
)
=
0
⇒
(
6
k
)
2
−
4
×
9
×
4
=
0
⇒
36
k
2
=
144
⇒
k
2
=
4
⇒
k
=
±
2
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