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#### For the quadratic polynomial f (x) = 4x^{2} – 8kx + k, the statements which hold good are

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- Minimum value of y is k(1 + 12k)
- for k < 0 the number zero lies between the zeros of the polynomial.
- f (x) = 0 has two distinct solutions in (0, 1) for k
- there is only one integral k for which f (x) is non negative

#### Answer:The correct answer is: there is only one integral k for which f (x) is non negative

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### Related Questions to study

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#### Graph of y = ax^{2} + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

#### Graph of y = ax^{2} + bx + c = 0 is given adjacently. What conclusions can be drawn from this graph –

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#### The graph of the quadratic polynomial y = ax^{2} + bx + c is as shown in the figure. Then :

#### The graph of the quadratic polynomial y = ax^{2} + bx + c is as shown in the figure. Then :

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#### The adjoining figure shows the graph of Then –

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#### The greatest possible number of points of intersections of 8 straight line and 4 circles is :

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#### How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even position ?

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#### A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct, is equal to :

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#### The radius of the circle is

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#### The polar equation of the circle whose end points of the diameter are and is

#### The polar equation of the circle whose end points of the diameter are and is

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#### The equation represents

#### The equation represents

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#### The value of 'c' in Lagrange's mean value theorem for in [0, 2] is

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#### The value of 'c' in Lagrange's mean value theorem for in [0, 1] is

#### The value of 'c' in Lagrange's mean value theorem for in [0, 1] is

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#### The foot of the perpendicular from the point on the line is

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#### The point of intersection of the lines is

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#### The line passing through and perpendicular to is

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#### The equation of the line passing through is

#### The equation of the line passing through is

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