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 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 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

If a,b,c are positive then both roots of the equation ax^(2)+bx+c=0

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

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

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

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a,b,c in R and (a+c)^(2)

a,b,c in R,a!=0 and the quadratic equation ax^(2)+bx+c=0 has no real roots,then

The quadratic equation x^(2)-(p-4)x+p^(2)=0 has (1) Real and distinct roots if pe-4,(2) Both roots positive if pe (3) Both roots negative if pel-4,(4) One root positive and one negative root for 13. pe ?