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Question 14 - Week 1 Practice | Prasnya
Q14
00:00
24 Oct 2024
Q14.
Which of the following options is/are true?
A
If
T
T
T
is the set
{
a
,
b
,
c
,
d
}
\{a,b,c,d\}
{
a
,
b
,
c
,
d
}
, then cardinality of the set
T
×
T
T\times T
T
×
T
is
16
16
16
.
B
The minimum value of the quadratic expression
f
(
x
)
=
3
x
2
−
18
x
+
20
f(x)=3x^2-18x+20
f
(
x
)
=
3
x
2
−
18
x
+
20
is
−
20
-20
−
20
.
C
For a quadratic equation
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
, where
a
,
b
,
c
a,b,c
a
,
b
,
c
are integers with
a
â‰
0
a\ne 0
a
î€
=
0
, if
b
2
−
4
a
c
>
0
b^2-4ac>0
b
2
−
4
a
c
>
0
and a perfect square, then there exists a rational root of the quadratic equation.
D
A line with an undefined slope is parallel to the
Y
Y
Y
-axis.
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Details
Q14
00:00
24 Oct 2024
Q14.
Which of the following options is/are true?
A
If
T
T
T
is the set
{
a
,
b
,
c
,
d
}
\{a,b,c,d\}
{
a
,
b
,
c
,
d
}
, then cardinality of the set
T
×
T
T\times T
T
×
T
is
16
16
16
.
B
The minimum value of the quadratic expression
f
(
x
)
=
3
x
2
−
18
x
+
20
f(x)=3x^2-18x+20
f
(
x
)
=
3
x
2
−
18
x
+
20
is
−
20
-20
−
20
.
C
For a quadratic equation
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
, where
a
,
b
,
c
a,b,c
a
,
b
,
c
are integers with
a
â‰
0
a\ne 0
a
î€
=
0
, if
b
2
−
4
a
c
>
0
b^2-4ac>0
b
2
−
4
a
c
>
0
and a perfect square, then there exists a rational root of the quadratic equation.
D
A line with an undefined slope is parallel to the
Y
Y
Y
-axis.
Save
Check
Details