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The graph of touches the -axis at exactly one point and does not cross it
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
The graph of
y
=
a
x
2
+
b
x
+
c
y = ax^2 + bx + c
y
=
a
x
2
+
b
x
+
c
touches the
x
x
x
-axis at exactly one point and does not cross it. Which statement about its discriminant
D
D
D
is true? (a)
D
>
0
D > 0
D
>
0
(b)
D
=
0
D = 0
D
=
0
(c)
D
<
0
D < 0
D
<
0
(d)
D
≤
0
D \le 0
D
≤
0
but
a
<
0
a<0
a
<
0
Related theory
Nature of Roots
Quadratic Equations
Algebra
Nature of roots (discriminant)
Solving Quadratic Equations
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