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Question

For the expression f(x) = a x2 + bx + c, (a > 0), the condition for both real roots of f(x) to be greater than (or) lesser than a real value M is,



A

f(M) > 0

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B

f(M) < 0

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C

f(M) 0

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D

f(M) 0

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Solution

The correct option is A

f(M) > 0


As a > 0, graph of f(x) is cup shaped parabola.

For M to be less than both roots (or) greater than both roots see that f(M) > 0

So, option A is true


Mathematics

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