MCQ
All the values of $m$ for which both roots of the equation $x^2-2 m x+m^2-1=0$ are greater than -2 but less than 4 lie in the interval:
  • A
    $m>3$
  • $-1<m<3$
  • C
    $1<\mathrm{m}<4$
  • D
    $-2<m<0$

Answer

Correct option: B.
$-1<m<3$
  1. $-1<m<3$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Equation of diameter of parabola ${y^2} = x$ corresponding to the chord $x - y + 1 = 0$ is
If $\omega $ is a complex number satisfying $\left| {{\rm{ }}\omega + \frac{1}{\omega }{\rm{ }}} \right| = 2$, then maximum distance of $\omega $from origin is
If $a{x^2} + bx + c = 0$ and $b{x^2} + cx + a = 0$ have a common root $a \ne 0$, then $\frac{{{a^3} + {b^3} + {c^3}}}{{abc}} = $
A number is called a palindrome if it reads the same backward as well as forward. For example $285582$ is a six digit palindrome. The number of six digit palindromes, which are divisible by $55$, is ...... .
A circle touches the parabola $y^2=4 x$ at $(1,2)$ and also touches its directrix. The $y$-coordinate of the point of contact of the circle and the directrix is
If $\sin \theta + {\rm{cosec}}\theta = {\rm{2}}$, then ${\sin ^2}\theta + {\rm{cose}}{{\rm{c}}^{\rm{2}}}\theta = $
If $f(x)$ be a function satisfying the condition that $f(x) = \frac{1}{3}\left[ {f(x + 6) + \frac{6}{{f(x + 7)}}} \right]$ and $f(x) \geq  0$ for all $x \in R$ .If $\mathop {\lim }\limits_{x \to \infty } f(x) = \sqrt m $ then value of $m$ is
1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + ….. + n(n + 1):
Let $a = min\,\, [x^2 + 2x + 3, x \in R]$ and $b =$ $\mathop {Lim}\limits_{x \to 0} \,\,\frac{{\sin x\cos x}}{{{e^x} - {e^{ - x}}}}$ . Then the value of $\sum\limits_{r = 0}^n {{a^r}{b^{n - r}}} $ is
Let $\left(2 x ^{2}+3 x +4\right)^{10}=\sum \limits_{ r =0}^{20} a _{ r } x ^{ r } \cdot$ Then $\frac{ a _{7}}{ a _{13}}$ is equal to