(B) Given the quadratic equation $4x^2 - 2x + k - 4 = 0$. Let the roots be $\alpha$ and $\frac{1}{\alpha}$. According to the property of quadratic equ

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(B) Given the quadratic equation $4x^2 - 2x + k - 4 = 0$. Let the roots be $\alpha$ and $\frac{1}{\alpha}$. According to the property of quadratic equations $ax^2 + bx + c = 0$,the product of the roots is given by $\frac{c}{a}$. Here,$a = 4$,$b = -2$,and $c = k - 4$. Therefore,$\alpha \cdot \frac{1}{\alpha} = \frac{k - 4}{4}$. $1 = \frac{k - 4}{4}$. $4 = k - 4$. $k = 8$.

Class 11 Mathematics 2 Complex Numbers and Quadratic Equations: Quadratic Equations Relation between roots and coefficients

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If one root of the equation $4x^2 - 2x + k - 4 = 0$ is the reciprocal of the other,then the value of $k$ is

TS EAMCET 2023 All TS EAMCET

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$-8$
B
$8$
C
$-4$
D
$4$

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