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NDA2016MathematicsQuadratic EquationActual

If c 0 and 4 a+c 2 b , then a x^2-b x+c=0 has a root in which one of the following intervals?

Options

  1. A(0,2)
  2. B(2,3)
  3. C(3,4)
  4. D(-2,0)

Correct answer

A. (0,2)

Step-by-step solution

Let f(x)=a x^2-b x+c f (2)=4 a -2 ~b + c 0 (given) f (0)= c 0 (given) So, we can see that sign of f(x) changes, when x changes from 0 to 2 , so it has a root in the interval (0,2) .

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