(B) Given that $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$ with $p \ne q$. This implies that $p$ and $q$ are the distinct roots of the quadratic equation $3x^

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(B) Given that $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$ with $p \ne q$. This implies that $p$ and $q$ are the distinct roots of the quadratic equation $3x^2 - 5x - 2 = 0$. For a quadratic equation of the form $ax^2 + bx + c = 0$,the product of the roots is given by $\frac{c}{a}$. Here,$a = 3$,$b = -5$,and $c = -2$. Therefore,the product of the roots $pq = \frac{-2}{3} = -\frac{2}{3}$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Relation between roots and coefficients

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If $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$,where $p \ne q$,then $pq$ is equal to

A
$2/3$
B
$-2/3$
C
$3/2$
D
$-3/2$

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4-2.Quadratic Equations and Inequations

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Relation between roots and coefficients

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If $3p^2 = 5p + 2$ and $3q^2 = 5q + 2$,where $p \ne q$,then $pq$ is equal to

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