`y={x(x-3)^2` increases for all values of x lying in the interval

The formula sin^(-1){2x(1-x^(2))}=2sin^(-1)x is true for all values of x lying in the interval

The formula sin^(-1){2xsqrt(1-x^(2))}=2 sin^(-1) x is true for all values of x lying in the interval

If 2cos^(2)(pi+x)+3sin(pi+x) vanishes then the values of x lying in the interval from 0 to 2 pi are

If 2cos^2(pi+x)+3 sin(pi+x) vanishes then the values of x lying in the interval from 0 to 2pi are

All the values of parameter m for which the functions f(x)=(x^3)/3+(m-1)x^2+(m+5)x+7 is increasing for all x >0 lie in the interval is equal to

Two lines 5x+3^(alpha)y=1 and alpha x-y=0 are perpendicular to each other for some value of alpha lying in the interval:

If y=x^3-ax^2+12x+5 is increasing for all values of x, then a lies between

The equation sin^(-1)(3x - 4x^(3)) = 3 sin^(-1) (x) is true for all value of x lying in which one of the following intervals ?

If a variable line 3x+4y-lamda=0 is such that the two circles x^(2)+y^(2)-2x-2y+1=0 " and" x^(2)+y^(2)-18x-2y+78=0 are on its opposite sides, then the set of all values of lamda is the interval