JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

m \in Z

and the equation

m\;{x^2} + \left( {2\;m - 1} \right)x + \left( {m - 2} \right) = 0

has rational roots, then

m

is of the form

View answer and explanation

Correct option: B

n\left( {n + 1} \right),n \in Z

Option B (

n\left( {n + 1} \right),n \in Z

) is correct because the discriminant must be a perfect square, which leads to m being of the form n(n+1).

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