If graph of $y = ax^2 -bx + c$ is following, then sign of $a$, $b$, $c$ are
$a < 0, b < 0, c < 0$
$a < 0, b > 0, c < 0$
$a < 0, b < 0, c > 0$
$a > 0, b > 0, c < 0$
If $x$ be real, the least value of ${x^2} - 6x + 10$ is
If $\alpha , \beta , \gamma$ are roots of equation $x^3 + qx -r = 0$ then the equation, whose roots are
$\left( {\beta \gamma + \frac{1}{\alpha }} \right),\,\left( {\gamma \alpha + \frac{1}{\beta }} \right),\,\left( {\alpha \beta + \frac{1}{\gamma }} \right)$
If $\sqrt {3{x^2} - 7x - 30} + \sqrt {2{x^2} - 7x - 5} = x + 5$,then $x$ is equal to
If the roots of the equation $8{x^3} - 14{x^2} + 7x - 1 = 0$ are in $G.P.$, then the roots are