Let `a >0,b >0` and `c >0` . Then, both the roots of the equation `a x^2+b x+c=0` . (1979, 1M) are real and negative have negative real parts have positive real parts None of the above

Let a>0,b>0 and c>0. Then,both the roots of the equation ax^(2)+bx+c=0 .(1979,1M) are real and negative have negative real parts have positive real parts None of the above

Let a > 0, b > 0 & c > 0·Then both the roots of the equation ax2 + bx + c (A) are real & negative (C) are rational numbers 0 0.4 (B) have negative real parts (D) none

If a,b, cinR , show that roots of the equation (a-b)x^(2)+(b+c-a)x-c=0 are real and unequal,

If a,b,c,depsilon R and f(x)=ax^3+bx^2-cx+d has local extrema at two points of opposite signs and abgt0 then roots of equation ax^2+bx+c=0 (A) are necessarily negative (B) have necessarily negative real parts (C) have necessarily positive real parts (D) are necessarily positive

If the roots of equation ax^(2)+bx+c=0;(a,b,c in R and a!=0) are non-real and a+c>b. Then

If the roots of the equation ax^(2)+bx+c=0,a!=0(a,b,c are real numbers),are imaginary and a+c

Let a, b, c be non-zero real roots of the equation x^(3)+ax^(2)+bx+c=0 . Then

If p and q are positive then the roots of the equation x^(2)-px-q=0 are- (A) imaginary (C) real & both negative (B) real & of opposite sign

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