If `y^2(x+1)-(3x^2+3x+2)y+6x=0` then sum of all possible value of `lim_(x->oo)(d y)/(d x)` is

If (2)^(log_(2)x^(2))-(3)^(log_(3)(x))-6=0 ,then sum of all possible values of x is

If 4x+3y-12=0 touches (x-p)^(2)+(y-p)^(2)=p^(2) , then the sum of all the possible values of p is

If 4x+3y-12=0 touches (x-p)^(2)+(y-p)^(2)=p^(2) , then the sum of all the possible values of p is

If (y^(2)-6y+3)(x^(2)+x+1)lt2x AA x in R, then sum of all integral values of y is

If x ^(2) + y^(2) - 14 x - 6y - 6=0, then the maximum possible value of 3x + 4y is (where (x,y) is a point on the given curve)

If ((2x-y)/(x+2y))=(1)/(2), then find the value of ((3x-y)/(3x+y))

If alpha,alpha^(2)) falls inside the angle made by the lines 2y=x,x>0&y=3x,x>0, then the set of values of alpha is (-oo,3) (b) ((1)/(2),3)(0,3)(d)(-oo,0)uu[(1)/(2),oo]

If y =x^2, write the value of (d^3y)/(d(x)^3) at x = 0

If y=(1)/(1+x+x^(2)+x^(3)) , then the value of (d^(2)y)/(dx^(2)) at x=0 is -