(C) Given the quadratic equation $3x^2 + 4kx + 3 = 0$. For the roots to be non-real,the discriminant $D$ must be less than $0$. $D = b^2 - 4ac < 0$ $(

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

(C) Given the quadratic equation $3x^2 + 4kx + 3 = 0$. For the roots to be non-real,the discriminant $D$ must be less than $0$. $D = b^2 - 4ac $(4k)^2 - 4(3)(3) $16k^2 - 36 $16k^2 $k^2 $k^2 Taking the square root on both sides,we get $|k| Therefore,$-3/2 Thus,$k$ lies in the interval $(-3/2, 3/2)$.

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

Easy

If the roots of the equation $3x^2 + 4kx + 3 = 0$ are non-real,then $k$ lies in the interval

AP EAMCET 2023 All AP EAMCET

A
$[-2, -3/2]$
B
$[3/2, 2]$
C
$(-3/2, 3/2)$
D
$(2, 3)$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

2 Complex Numbers and Quadratic Equations: Quadratic Equations

Subtopic

Solution of quadratic equations and Nature of roots

Previous Year

AP EAMCET 2023 Paper All AP EAMCET years →

Find the product of all real roots of the equation $|x|^{6/5} - 26|x|^{3/5} - 27 = 0$.

DifficultTS EAMCET 2012

View Solution

The midpoint of the diagonal of a rectangle formed by $x^2+5x-6=0$ and $y^2-8y-20=0$ is

MediumAP EAMCET 2022

View Solution

If $ax^2 + bx + c = 0$,then $x =$

Medium

View Solution

Let $N$ be the number of quadratic equations of the form $ax^2 + bx + c = 0$ with coefficients $a, b, c \in \{0, 1, 2, \dots, 9\}$ such that $0$ is a solution of each equation. Then the value of $N$ is

MediumWBJEE 2024

View Solution

If $P(x) = ax^2 + bx + c$ and $Q(x) = -ax^2 + dx + c$ where $ac \neq 0$, then $P(x) \cdot Q(x) = 0$ has $(a, b, c, d \in \mathbb{R})$:

EasyWBJEE 2024

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 the equation $3x^2 + 4kx + 3 = 0$ are non-real,then $k$ lies in the interval

Similar Questions

Find the product of all real roots of the equation $|x|^{6/5} - 26|x|^{3/5} - 27 = 0$.

The midpoint of the diagonal of a rectangle formed by $x^2+5x-6=0$ and $y^2-8y-20=0$ is

If $ax^2 + bx + c = 0$,then $x =$

Let $N$ be the number of quadratic equations of the form $ax^2 + bx + c = 0$ with coefficients $a, b, c \in \{0, 1, 2, \dots, 9\}$ such that $0$ is a solution of each equation. Then the value of $N$ is

If $P(x) = ax^2 + bx + c$ and $Q(x) = -ax^2 + dx + c$ where $ac \neq 0$, then $P(x) \cdot Q(x) = 0$ has $(a, b, c, d \in \mathbb{R})$:

Vedclass Test Series

Exam Paper Generator

Online Exam Module