Question 1 - Roots and discriminant Practice | Prasnya
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Week 3
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Quadratic Functions - Quadratic Functions
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Roots and discriminant
Question 1
00:00
Est. 4 min
Marks:
+5.00
0.00
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,
where
c
∈
R
c \in \mathbb{R}
. Which of the following statements are true?
Multiple correct
Medium Difficulty
15 March 2026
A
Both equations have two distinct real roots iff
c
c
lies between
0
0
and
9
4
\frac{9}{4}
.
B
Both equations have two distinct real roots iff
c
c
lies between
−
4
-4
and
9
4
\frac{9}{4}
.
C
The vertex of
f
f
corresponds to maximum.
D
The vertex of
g
g
corresponds to maximum.
