🏠 Home 📚 Question Bank ✏️ Practice 📝 Tests ❓ Doubts 📖 Materials 🏆 Leaderboard
🔑 Sign In 🚀 Get Started Free
Home› Question Bank› Mathematics› Question #32
📐 Mathematics Graphs of Polynomial Functions Medium JEE Advanced mathsparsh_qb
Question #32 — Q01
Find the number of negative integral values of $m$ for which the expression $x^{2}+2\left( m-1 \right)x+m+5$ is positive $\forall$ $x \gt 1$.
Step-by-Step Solution

Coming Soon.

Previous
Question Info
SubjectMathematics
TopicGraphs of Polynomial Functions
DifficultyMedium
Typenumerical
ExamJEE Advanced
Related Questions
The value of $\sum_{n=2}^{1947}\frac{1}{2^n+\sqrt{2^{1947}}}$ is equal to
Hard
Find the number of negative integral values of $m$ for which the expression $x^{2}+2\left( m-1 \right)x+m+5$ is positive $\forall$ $x \gt 1$.
Medium
If $\binom{30}{1}^{2}+2\binom{30}{2}^{2}+3\binom{30}{3}^{2}+...+30\binom{30}{30}^{2}=\frac{\alpha(60!)}{(30!)^{2}}$ then $\alpha$ is equal to
Medium
Let $f:R\to \left( 0,\infty \right)$ be such that $f\left( x \right)+\frac{e^{x+x^{2}}}{f\left( x \right)}\le e^{x}+e^{x^{2}}, \forall$ $x>0$. Then, $\displaystyle\lim_{x \to 1} f\left( x \right)$ is
Medium
A function $f:R\to R$ is defined as $f\left( x \right)=3x+5$. Find $f^{-1}\left( x \right)$.
Easy
🎯

Practice More

Solve similar questions from this subject

Explore Questions