JEE PYQ

[JEE Main 2006] all values of m for which both roots of x 2 2mx m 2

VAVidaara Admin Asked 2d ago 0 views 1 answer

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

(a) $-2<m<0$
(b) $m>3$
(c) $-1<m<3$
(d) $1<m<4$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $-1<m<3$

Roots are $m\pm1$; $m-1>-2\Rightarrow m>-1$ and $m+1<4\Rightarrow m<3$, so $-1<m<3$.

JEE Main 2006 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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