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Question

If the roots of the equation (m2)x2(82m)x(83m)=0 are real and opposite in sign, then the number of integral value(s) of m is

A
0
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B
1
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C
2
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D
more than 2
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Solution

The correct option is A 0
(m2)x2(82m)x(83m)=0
Since, roots are opposite in sign, hence 0 lies between the roots.
af(0)<0
(m2)(3m8)<0
m(2,83)
Hence, no integral value of m in this interval.

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