Select the correct graph for the equation $y = - x^{2} + (m + n) x + m n$ , if m > 0 and n > 0.

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Solution

The correct option is C

$y = - (x^{2} + (m + n) x + m n)$

Since, a is negative, it is a downward opening graph.

The sum of the roots of the graph is positive.

So, the graph in option c is perfectly representing the graph of given equation.

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