If `f(alpha)=0` then `alpha` is called

If (alpha)=0 then alpha is called

If for some differentiable function f(alpha)=0 and f'(alpha)=0, Statement 1: Then sign of f(x) does not change in the neighbourhood of x=alpha Statement 2:alpha is repeated root of f(x)=0

If f (alpha) =x cos alpha + y sin alpha - p (alpha), then the lines f (alpha)=0 and f (beta)=0 ar perpendicular to each other, if

Let g(x)=|(f(x+alpha), f(x+2a), f(x+3alpha)), f(alpha), f(2alpha), f(3alpha),(f\'(alpha),(f\'(2alpha), f\'(3alpha))| , where alpha is a constant then Lt_(xrarr0(g(x))/x= (A) 0 (B) 1 (C) -1 (D) none of these

If 0

Let g(x)=3f((x)/(3))+f(3-x) and f''(x)>0 for all x in(0,3) . If "g" is decreasing in (0,alpha) and increasing in (alpha,3) ,then 8 alpha is :

f2sec^(2)alpha+sec^(4)alpha-2csc^(2)alpha+csc^(4)alpha=(15)/(4), then tan alpha is equal to

Let F(alpha)=[cos alpha-sin alpha0sin alpha cos alpha0001] and G(beta)=[cos beta0sin beta010-sin beta0cos beta] Show that [F(alpha)]^(-1)=F(-alpha)(ii)[G(beta)]^(-1)=G(-beta)( iii) [F(alpha)G(beta)]^(-1)=G(-beta)F(-alpha)

Let A=[(5,5alpha,alpha),(0,alpha,5alpha),(0,0,5)] . If |A|^2=25 , then |alpha| is equal to :