If both roots of the quadratic equation $x^2 - 2ax + a^2 - 1$ lie in $(-2, 2)$ then which of the following can be $[a]$ ?
$[a]$ denotes greatest Integer function of $a$
I have solve it using graphs:
The graph will intersect the x-axis somewhere between $-2$ and $2$. Hence we can conclude that $f(2)$ and $f(-2)$ will be greater than zero.
Now there will be two quadratic equation in $a$ and we will get $4$ values of $a$ I.e. $-3, -1 , 3 ,1$. From these values the answer should be opton $D.$ but the answer is given as option $A.$