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Graph of Quadratic Expression

The number of...

Question

The number of integral values of $m$ , for which the roots of $x^{2} - 2 m x + m^{2} - 1 = 0$ will between $- 2$ and $4$ is :

2

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3

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1

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Solution

The correct option is D $3$
$x^{2} - 2 m x + m^{2} - 1 = 0 r o o t s a r e - 2 a n d 4 s u m o f r o o t s = - 2 + 4 = 2 = 2 m ∴ m = 1 p r o d u c t = - 8 = m^{2} - 1 m^{2} - 9 = 0 (m - 3) (m + 3) = 0 m = 3 o r - 3$

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