List of top Mathematics Questions on linear inequalities asked in MET

If \(a^2 + b^2 + c^2 = 1\), then \(ab + bc + ca\) lies in the interval

$\left|\dfrac{x}{2} - 1\right|<3$ implies that $x$ lies in the interval

The product of $n$ positive numbers is unity. Then their sum is

The condition that one root of the equation $ax^{2} + bx + c = 0$ may be the square of the other is

The equation $(\cos p - 1)x^{2}+ (\cos p)\,x + \sin p = 0$ in the variable $x$ has real roots. Then $p$ can take values in the interval

The equation $3^{3x + 4} = 9^{2x - 2},\ x>0$ has the solution

If the roots of $x^2 + ax + 9 = 0$ are complex, then

If $x^2 + px + q = 0$ is the quadratic equation whose roots are $a - 2$ and $b - 2$, where $a$ and $b$ are the roots of $x^2 - 3x + 1 = 0$, then

If the product of roots of the equation $mx^2 + 6x + (2m-1) = 0$ is $-1$, then the value of m is