Class 11Mathematics4-2.Quadratic Equations and InequationsSolution of quadratic equations and Nature of roots
EasyThe expression $x^2 + 2bx + c$ has a positive value for all real $x$ if:
- A$b^2 - 4c > 0$
- B$b^2 - 4c < 0$
- C$c^2 < b$
- D$b^2 < c$
Explore More
Similar Questions
The equation $\sqrt{x + 1} - \sqrt{x - 1} = \sqrt{4x - 1}$ for $x \in R$ has:
Medium
View SolutionConsider two numbers whose arithmetic mean is $9$ and geometric mean is $4$. These numbers are the roots of which equation?
Easy
View SolutionIf $a > 0,$ then $\sqrt {a + \sqrt {a + \sqrt {a + ....\infty } } } $ is
Medium
View SolutionThe sum of the solutions of the equation $|\sqrt{x} - 2| + \sqrt{x}(\sqrt{x} - 4) + 2 = 0$ for $x > 0$ is equal to
DifficultJEE MAIN 2019
View SolutionThe roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$ are
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo