If `x^2-(a-3)x+a=0` has atleast one positive root then 'a' belong to

If x^2-(a-3)x+a =0 has at least one positive root,then

If ax^(2)-2x+1>0 for atleast one positive real x ,then set of all values of a is

If ax^(2)-2x+1>0 for atleast one positive real x, then set of all values of a is

The values of k ,for which the equation x^(2)+2(k-1)x+k+5=0 possess atleast one positive root,are:

If equation x^(2)+2(k-1)x+k+5=0 has both roots positive and distinct then k belongs to -

Show that x^(n)-a=0 has at most one real positive root if n is a positive integer.

The set of values of 'a' for which the inequality x^(2)-(a+2)x-(a+3)<0 is satisfied by atleast one positive real x,

If the equation ax^(2)+bx+c=0 has two positive and real roots,then prove that the eqsition ax^(2)+(b+6a)x+(c+3b)=0 has at least one positive real root.