(A) Given the quadratic equation $ax^2 + bx + c = 0$.Let the roots of the equation be $\alpha$ and $\frac{1}{\alpha}$ as they are reciprocal to each o

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(A) Given the quadratic equation $ax^2 + bx + c = 0$.Let the roots of the equation be $\alpha$ and $\frac{1}{\alpha}$ as they are reciprocal to each other.The product of the roots for a quadratic equation $ax^2 + bx + c = 0$ is given by the formula $\frac{c}{a}$.Therefore,$\alpha \times \frac{1}{\alpha} = \frac{c}{a}$.$1 = \frac{c}{a}$.This implies $a = c$,or $a - c = 0$.

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

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If the roots of the equation $ax^2 + bx + c = 0$ are reciprocal to each other,then

A
$a - c = 0$
B
$b - c = 0$
C
$a + c = 0$
D
$b + c = 0$

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2 Complex Numbers and Quadratic Equations: Quadratic Equations

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Relation between roots and coefficients

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If the roots of the equation $ax^2 + bx + c = 0$ are reciprocal to each other,then

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