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8. Sequences and Series
easy
The $G.M.$ of roots of the equation ${x^2} - 18x + 9 = 0$ is
A
$3$
B
$4$
C
$2$
D
$1$
Solution
(a) Let $\alpha $ and $\beta $ be the roots of equation ${x^2} – 18x + 9 = 0$
$\therefore $ $G.M.$ of $\alpha $ and $\beta $$ = \sqrt {\alpha \beta } = \sqrt 9 = 3$.
Standard 11
Mathematics