Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$
Product of real roots of the equation ${t^2}{x^2} + |x| + \,9 = 0$
- [AIEEE 2002]
- A
Is always positive
- B
Is always negative
- C
Does not exist
- D
None of these
Similar Questions
The sum of the roots of the equation, ${x^2}\, + \,\left| {2x - 3} \right|\, - \,4\, = \,0,$ is
The sum of the roots of the equation, ${x^2}\, + \,\left| {2x - 3} \right|\, - \,4\, = \,0,$ is
- [JEE MAIN 2014]
The number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are
The number of real solutions of the equation $|x{|^2}$-$3|x| + 2 = 0$ are
- [IIT 1989]
If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
If $|{x^2} - x - 6| = x + 2$, then the values of $x$ are
Let $y = \sqrt {\frac{{(x + 1)(x - 3)}}{{(x - 2)}}} $, then all real values of $x$ for which $y$ takes real values, are
Let $y = \sqrt {\frac{{(x + 1)(x - 3)}}{{(x - 2)}}} $, then all real values of $x$ for which $y$ takes real values, are
- [IIT 1980]
The equation${e^x} - x - 1 = 0$ has
The equation${e^x} - x - 1 = 0$ has