Class 10 Math All topics Polynomials

Ratio of the sum of the roots of $x_{2}−9x+18=0$ to the product of the roots is:

(a)

$1:2$

(b)

$2:1$

(c)

$−1:2$

(d)

$−2:1$

Correct answer: (a)

Solution:

Product of the roots $=18$

Therefore, the ratio of sum of roots to the product of roots is $9:18$ i,e., $1:2$.

We know that equation $ax_{2}+bx+c=0$

Then sum of roots $=a−b $ and product of roots$=ac $

Given equation is $x_{2}−9x+19=0$

Sum of roots $=9$Product of the roots $=18$

Therefore, the ratio of sum of roots to the product of roots is $9:18$ i,e., $1:2$.

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introduction to trigonometry

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introduction to trigonometry

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