Mathematics · 2023
JEE Main · 10 April 2023, Shift 1 · Q22
The number of elements in the set {n ∈ Z:|n^2-10 n+19|<6} is ____.
The number of elements in the set $\displaystyle \left\{n \in \mathbb{Z}:\left|n^2-10 n+19\right|<6\right\}$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
6
More from Basic Maths
- Let A={x ∈(0, π)-{(π)/2}: log_(2 / π)| sin x|+ log_(2 / π)| cos x|=2} and B={x ≥ 0: √x(√x-4)-3|√x-2|+6=0}. Then n(A ∪ B) is equal to:2025
- Let a, b, c be three distinct positive real numbers such that (2 a)^log_e a=(b c)^log_e b and b^log_e 2=a^log_e c. Then 6 a+5 b c is equal to ____.2023
- The sum of the squares of the roots of |x-2|^2+|x-2|-2=0 and the squares of the roots of x^2-2|x-3|-5=0, is2025
- The number of real roots of the equation x|x-2|+3|x-3|+1=0 is:2025
- The sum of all the real solutions of the equation log_(x+3)(6 x^2+28 x+30)=5-2 log_(6 x+10)(x^2+6 x+9) is equal to2026
- The number of distinct real roots of the equation |x||x+2|-5|x+1|-1=0 is ____.2024
- The number of distinct real solutions of the equation x|x+4|+3|x+2|+10=0 is2026
- If the set of all solutions of |x^2+x-9|=|x|+|x^2-9| is [α, β] ∪[γ, ∞), then ( α^2+β^2+γ^2 ) is equal to:2026
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.