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Q.

If the minimum value of the quadratic expression $x^{2} + 5 x - 2$ is M and it exists at ‘a’ then $\frac{M}{a} =$

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a

$\frac{33}{5}$

b

3.3

c

2.5

d

– 0.25

answer is A.

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Detailed Solution

Minimum at $x = \frac{- b}{2 a} = \frac{- 5}{2}$ $M = {(\frac{- 5}{2})}^{2} + 5 (\frac{- 5}{2}) - 2 = \frac{- 33}{4} \Rightarrow \frac{M}{a} = 3.3$

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