For all `x , `x^2+2ax+10-3a>0`, then the interval in which a lies is

For all 'x', x^(2) + 2ax + 10 - 3a gt 0 , then the interval in which 'a' lies is

For all 'x', x^(2)+2ax+10-3a gt 0 , Statement 1 : the interval in which 'a' lies is -5 lt a lt 2 because Statement 2 : the sign of coefficient of x^(2) and the quadratic expression are same for all R iff the discriminant is negative.

If (y^(2)-5y+3)(x^(2)+x+1)<2x for all x in R, then fin the interval in which y lies.

If the roots of the equation ax^(2)-bx^(2)-x-1=0 are distinct real numbers in H.P.Then answer the following: The interval in which 'a lies,is

If x^(2)-1 =0 then x lies in the interval set

for all x in R if mx^(2)-9mx+5m+1>0 then m lies in the interval

If log_(2)(x-2)ltlog_(4)(x-2) ,, find the interval in which x lies.

Let f(x)={{:(xe^(ax)",", x le0),(x+ax^2-x^3",",x gt 0):} where a is postive constant . Find the interval in which f'(X) is increasing.