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If $b^{2} = 4 a c$ for a quadratic equation, then its graph (parabola) touches the $x$ -axis at:

Class 10Nature of Roots (Discriminant)Quadratic Equations

AExactly one point
BTwo points
CNo point
DThree points

Step-by-Step Solution

b^{2} = 4 a c

means

D = 0

, equal roots; the parabola just touches the

x

-axis at one point.

Answer: A) Exactly one point

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