If positive numbers `a ,b ,c` are in H.P., then equation `x^2-k x+2b^(101)-a^(101)-c^(101)=0(k in R)` has both roots positive both roots negative one positive and one negative root both roots imaginary

If positive numbers a,b,c are in H.P.then equation x^(2)-kx+2b^(101)-a^(101)-c^(101)=0(k in R) has (a)both roots positive (b)both roots negative (c)one positive and one negative root (d)both roots imaginary

If a,b,c epsilon R and abgt0, a+2b+4c=0 then equation ax^2+bx+c=0 has (A) both roots positive (B) both roots negative (C) one positive and one negative root (D) both roots imginary

If a,b,c in R and abc<0, then equation bcx^(2)+(2b+c-a)x+a=0 has (a).both positive roots (b) both negative roots (c).real roots (d) one positive and one negative root

a>b>0 and 2x^(2)-ax-b^(2)=0t h e n(A) both roots lie between -(a)/(2) and a (B) both roots are positive (C) both roots are negative (D) both roots are imaginary

Find p in R for which x^2-px+p+3=0 has one positive and one negative root.

If both roots of x^(2)+px+q=0 are positive and one root is cube of other root,then -

if the equation x^(2)-x=k-k^(2) (k in R) has one positive and one negative real roots, then number of possible integral values of "k" is

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?

x^(3)+ax^(2)-bx-4=0 has (A) at least one negative root (C) one positive and one nell real roots 2 all real roots 2