(C) The given equation is $x^2 - 2mx + m^2 - 1 = 0$.This can be rewritten as $(x - m)^2 - 1 = 0$.$(x - m)^2 = 1$.Taking the square root on both sides,

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

(C) The given equation is $x^2 - 2mx + m^2 - 1 = 0$.This can be rewritten as $(x - m)^2 - 1 = 0$.$(x - m)^2 = 1$.Taking the square root on both sides,we get $x - m = \pm 1$.Thus,the roots are $x_1 = m - 1$ and $x_2 = m + 1$.We are given that both roots are greater than $-2$ and less than $4$,so $-2 From $-2 -1$.From $m + 1 Combining these,we get $-1 Therefore,the interval is $(-1, 3)$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

Difficult

All the values of $m$ for which both roots of the equation $x^2 - 2mx + m^2 - 1 = 0$ are greater than $-2$ but less than $4$ lie in the interval

AIEEE 2006 All AIEEE

A
$(-2, 0)$
B
$(3, \infty)$
C
$(-1, 3)$
D
$(1, 4)$

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

Previous Year

AIEEE 2006 Paper All AIEEE years →

If the roots of $a(b - c)x^2 + b(c - a)x + c(a - b) = 0$ are equal,then $a, b, c$ are in

Medium

View Solution

The set of values of $x \in R$ satisfying the inequality $x^2 - 4x - 21 \leq 0$ is

EasyAP EAMCET 2017

View Solution

The number of solutions for the equation $x^2-5|x|+6=0$ is .........

EasyAP EAMCET 2020

View Solution

Let $f(x) = x^2 + ax + b$,where $a, b \in R$. If $f(x) = 0$ has all its roots imaginary,then the roots of $f(x) + f'(x) + f''(x) = 0$ are

DifficultTS EAMCET 2009

View Solution

The sum of the solutions of the equation $|\sqrt{x} - 2| + \sqrt{x}(\sqrt{x} - 4) + 2 = 0$ for $x > 0$ is equal to

DifficultJEE MAIN 2019

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

All the values of $m$ for which both roots of the equation $x^2 - 2mx + m^2 - 1 = 0$ are greater than $-2$ but less than $4$ lie in the interval

Similar Questions

If the roots of $a(b - c)x^2 + b(c - a)x + c(a - b) = 0$ are equal,then $a, b, c$ are in

The set of values of $x \in R$ satisfying the inequality $x^2 - 4x - 21 \leq 0$ is

The number of solutions for the equation $x^2-5|x|+6=0$ is .........

Let $f(x) = x^2 + ax + b$,where $a, b \in R$. If $f(x) = 0$ has all its roots imaginary,then the roots of $f(x) + f'(x) + f''(x) = 0$ are

The sum of the solutions of the equation $|\sqrt{x} - 2| + \sqrt{x}(\sqrt{x} - 4) + 2 = 0$ for $x > 0$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module