If `(t, t^(2))` falls inside the angle made by the lines `y = x//2, x gt 0` and `y = 3x, x gt 0,` where `t in (a, b)` then find the value of `2a + b`.

If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to :

If (a, a^(2) ) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y = 3x, x gt 0 , then a belongs to

If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to the interval

If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to the interval

If (a,a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to the interval

If (a,a^(2)) falls inside the angle made of the lines y=x/2,xgt0 and y=3x,xgt0 then a belongs to

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 x=3t " and " y=(2t)/3-1 , then find the value of t for which x = 3y.

If x^(2)+x=1-y^(2) , where x gt 0, y gt 0 , then find the maximum value of x sqrt(y) .