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Byju's Answer

Standard XII

Mathematics

Nature of Roots

If in applyin...

Question

If in applying the quardratic formula to a quadratic equation
$f (x) = a x^{2} + b x + c = 0$ , it happens that $c = b^{2} / 4 a$ , then the graph of $y = f (x)$ will certainly:

have a maximum

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have a minimum

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tangent to the

x

-axis

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be tangent to the

y

-axis

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lie in one quadrant only

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Solution

The correct option is C tangent to the $x$ -axis
The condition $c = b^{2} / 4 a$ implies equal real coefficients, i.e., the curve touches the $x$ -axis at exactly one point and, therefore, the graph is tangent to the $x$ -axis.

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If in applying the quardratic formula to a quadratic equationf(x)=ax2+bx+c=0, it happens that c=b2/4a, then the graph of y=f(x) will certainly:

The correct option is C tangent to the x-axisThe condition c=b2/4a implies equal real coefficients, i.e., the curve touches the x-axis at exactly one point and, therefore, the graph is tangent to the x-axis.

If in applying the quardratic formula to a quadratic equation
$f (x) = a x^{2} + b x + c = 0$ , it happens that $c = b^{2} / 4 a$ , then the graph of $y = f (x)$ will certainly:

The correct option is C tangent to the $x$ -axis
The condition $c = b^{2} / 4 a$ implies equal real coefficients, i.e., the curve touches the $x$ -axis at exactly one point and, therefore, the graph is tangent to the $x$ -axis.