(B) For a quadratic equation $ax^2 + bx + c = 0$,the roots are equal if the discriminant $D = b^2 - 4ac = 0$.Here,$a = 4$,$b = p$,and $c = 9$.Substitu

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(B) For a quadratic equation $ax^2 + bx + c = 0$,the roots are equal if the discriminant $D = b^2 - 4ac = 0$.Here,$a = 4$,$b = p$,and $c = 9$.Substituting these values into the discriminant formula:$p^2 - 4(4)(9) = 0$$p^2 - 144 = 0$$p^2 = 144$$p = \pm 12$The absolute value of $p$ is $|p| = |\pm 12| = 12$.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Solution of quadratic equations and Nature of roots

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If the roots of $4x^2 + px + 9 = 0$ are equal,then the absolute value of $p$ is:

A
$144$
B
$12$
C
$-12$
D
$\pm 12$

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2 Complex Numbers and Quadratic Equations: Quadratic Equations

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Solution of quadratic equations and Nature of roots

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If the roots of $4x^2 + px + 9 = 0$ are equal,then the absolute value of $p$ is:

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