- A729
- B2187
- C6561
- D19683
Solution:
Given, a5 = 27 and a8 = 729.
⇒ ar4 = 27 and ar7 = 729
On dividing we get, r3 = 27 ⇒ r=3
$\Rightarrow\text{a}=\frac{23}{(3^4)}=\frac{1}{3}$
$\Rightarrow\text{a}_{11}=\text{a}^{10}$
$=(\frac{1}{3})(3^{10})=39=19683$
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A line cutting off intercept -3 from the y-axis and the tengent at angle to the xaxis is $\frac{3}{5}$, its equation is:
Solution of a linear inequality in variable x is represented on number line.
$\text{x}\in\big(\frac{9}{2},\infty\big)$
$\text{x}\in\big[\frac{9}{2},\infty\big]$
$\text{x}\in\big(-\infty,\frac{9}{2}\big)$
$\text{x}\in\big[\frac{9}{2},\infty\big)$
What is the length of foot of perpendicular drawn from the point P(3, 4, 5) on y-axis.
$\sqrt{41}$
$\sqrt{34}$
$5$
$\text{None of these.}$