Prasnya
Prasnya
Prasnya
Continue with Google
Question 2 - Week 3 Practice | Prasnya
Q2
00:00
15 Mar 2026
Q2.
Consider the two quadratic functions
f
(
x
)
=
x
2
−
4
x
+
c
,
g
(
x
)
=
−
x
2
+
3
x
+
c
,
f(x)=x^2-4x+c, \qquad g(x)=-x^2+3x+c,
f
(
x
)
=
x
2
−
4
x
+
c
,
g
(
x
)
=
−
x
2
+
3
x
+
c
,
where
c
∈
R
c \in \mathbb{R}
c
∈
R
. Which of the following statements are true?
A
Both equations have two distinct real roots iff
c
c
c
lies between
0
0
0
and
9
4
\frac{9}{4}
4
9
.
B
Both equations have two distinct real roots iff
c
c
c
lies between
−
4
-4
−
4
and
9
4
\frac{9}{4}
4
9
.
C
The vertex of
f
f
f
corresponds to maximum.
D
The vertex of
g
g
g
corresponds to maximum.
Save
Check
Details
Q2
00:00
15 Mar 2026
Q2.
Consider the two quadratic functions
f
(
x
)
=
x
2
−
4
x
+
c
,
g
(
x
)
=
−
x
2
+
3
x
+
c
,
f(x)=x^2-4x+c, \qquad g(x)=-x^2+3x+c,
f
(
x
)
=
x
2
−
4
x
+
c
,
g
(
x
)
=
−
x
2
+
3
x
+
c
,
where
c
∈
R
c \in \mathbb{R}
c
∈
R
. Which of the following statements are true?
A
Both equations have two distinct real roots iff
c
c
c
lies between
0
0
0
and
9
4
\frac{9}{4}
4
9
.
B
Both equations have two distinct real roots iff
c
c
c
lies between
−
4
-4
−
4
and
9
4
\frac{9}{4}
4
9
.
C
The vertex of
f
f
f
corresponds to maximum.
D
The vertex of
g
g
g
corresponds to maximum.
Save
Check
Details
