(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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

Easy

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
$\pm 12$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

4-2.Quadratic Equations and Inequations

Subtopic

Solution of quadratic equations and Nature of roots

The quadratic equation whose roots are $\sin ^2 18^{\circ}$ and $\cos ^2 36^{\circ}$ is

EasyTS EAMCET 2023

View Solution

The number of real values of $x$ for which the equality $|3x^2 + 12x + 6| = 5x + 16$ holds is:

Difficult

View Solution

The product of the roots of the equation $9x^{2}-18|x|+5=0$ is

MediumJEE MAIN 2020

View Solution

$A$ two-digit number is four times the sum of its digits and three times the product of its digits. The number is:

Difficult

View Solution

Let $[x]$ be the greatest integer less than or equal to $x$ for a real number $x$. Then the equation $[x^2] = x + 1$ has:

DifficultKVPY 2020

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

Similar Questions

The quadratic equation whose roots are $\sin ^2 18^{\circ}$ and $\cos ^2 36^{\circ}$ is

The number of real values of $x$ for which the equality $|3x^2 + 12x + 6| = 5x + 16$ holds is:

The product of the roots of the equation $9x^{2}-18|x|+5=0$ is

$A$ two-digit number is four times the sum of its digits and three times the product of its digits. The number is:

Let $[x]$ be the greatest integer less than or equal to $x$ for a real number $x$. Then the equation $[x^2] = x + 1$ has:

Vedclass Test Series

Exam Paper Generator

Online Exam Module