Consider the following two statements
$I$. Any pair of consistent liner equations in two variables must have a unique solution.
$II$. There do not exist two consecutive integers, the sum of whose squares is $365$.Then,
both $I$ and $II$ are true
both $I$ and $II$ are false
$I$ is true and $II$ is false
$I$ is false and $II$ is true
The polynomial equation $x^3-3 a x^2+\left(27 a^2+9\right) x+2016=0$ has
If $x+\frac{1}{x}=a, x^2+\frac{1}{x^3}=b$, then $x^3+\frac{1}{x^2}$ is
If $x$ is real , the maximum value of $\frac{{3{x^2} + 9x + 17}}{{3{x^2} + 9x + 7}}$ is
How many positive real numbers $x$ satisfy the equation $x^3-3|x|+2=0$ ?
The set of all $a \in R$ for which the equation $x | x -1|+| x +2|+a=0$ has exactly one real root is: