(A) For a quadratic expression $f(x) = ax^2+bx+c$,the minimum value occurs at $x = -\frac{b}{2a}$.Here,$f(x) = x^2+5x-2$,so $a=1, b=5, c=-2$.The minim

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(A) For a quadratic expression $f(x) = ax^2+bx+c$,the minimum value occurs at $x = -\frac{b}{2a}$.Here,$f(x) = x^2+5x-2$,so $a=1, b=5, c=-2$.The minimum value occurs at $a = -\frac{5}{2(1)} = -2.5$.The minimum value $M$ is $f(-2.5) = (-2.5)^2 + 5(-2.5) - 2 = 6.25 - 12.5 - 2 = -8.25$.Now,$\frac{M}{a} = \frac{-8.25}{-2.5} = 3.3$.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Quadratic expressions and Position of roots

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If the minimum value of the quadratic expression $x^2+5x-2$ is $M$ and it occurs at $x=a$,then $\frac{M}{a}$ is equal to

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A
$3.3$
B
$\frac{33}{5}$
C
$2.5$
D
$-0.25$

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2 Complex Numbers and Quadratic Equations: Quadratic Equations

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Quadratic expressions and Position of roots

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