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Method of Intervals

The number of...

Question

The number of 2 digit positive integral values of m, for which the roots of the equation mx²+(2m-1)x+(m-2) = 0 are rational is

A

5

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B

9

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C

10

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D

7

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Solution

The correct option is D 7

4m+1 should be a perfect square for x to be rational. Possible 2 digit values of m = {12, 20, 30, 42,56,70,90}

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