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The ratio of the sum and product of the roots of the equation $7 x^{2}-12 x+18=0$ is(a) $7: 12$(b) $7: 18$(c) $3: 2$(d) $2: 3$
The ratio of the sum and product of the roots of the equation $7 x^{2}-12 x+18=0$ is
(a) $7: 12$
(b) $7: 18$
(c) $3: 2$
(d) $2: 3$
CBSE | Class 10 | Exercise 10f | Maths | Quadratic Equations | RS Aggarwal
The ratio of the sum and product of the roots of the equation $7 x^{2}-12 x+18=0$ is
(a) $7: 12$
(b) $7: 18$
(c) $3: 2$
(d) $2: 3$

Answer is (d) $2: 3$
Given:
$7 x^{2}-12 x+18=0$

$\therefore \alpha+\beta=\frac{12}{7}$ and $\beta=\frac{18}{7}$, where
$\alpha$ and $\beta$ are the roots of the equation
$\therefore$ Ratio of the sum and product of the roots $=\frac{12}{7}: \frac{18}{7}$
$=12: 18$
$=2: 3$

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