The number of elements in the set left{n in Z | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$-6 < n ^2-10 n +19 < 6$ $\Rightarrow n^2-10 n+25 > 0 ext { and } n ^2-10 n +13 < ( n -5)^2 > 0 n \in[5-2 \sqrt{3}, 5+2 \sqrt{3}]$

Vedclass · Accepted Answer

$6$

Vedclass · Answer

$-6 < n ^2-10 n +19 < 6$ $\Rightarrow n^2-10 n+25 > 0 ext { and } n ^2-10 n +13 < ( n -5)^2 > 0 n \in[5-2 \sqrt{3}, 5+2 \sqrt{3}]$ $n \in R-[5]$ $ herefore n \in[1.3,8.3]$ $\Rightarrow n=2,3,4,6,7,8$

The number of elements in the set $\left\{n \in Z :\left|n^2-10 n+19\right| < 6\right\}$ is $...........$

Similar Questions

If $A = \{x, y\}$ then the power set of $A$ is

Let $S=\{1,2,3, \ldots \ldots, n\}$ and $A=\{(a, b) \mid 1 \leq$ $a, b \leq n\}=S \times S$. A subset $B$ of $A$ is said to be a good subset if $(x, x) \in B$ for every $x \in S$. Then, the number of good subsets of $A$ is

Let $S$ be the set of all ordered pairs $(x, y)$ of positive integers satisfying the condition $x^2-y^2=12345678$. Then,

The number of elements in the set $\left\{ n \in N : 10 \leq n \leq 100\right.$ and $3^{ n }-3$ is a multiple of $7\}$ is $........$.

Let $S = \{ x \in R:x \ge 0$ and $2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \right) + 6 = 0\} $ then $S:$ . . .