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 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 : a. are real and negative b. have negative real parts c. have positive real parts d. None of the above

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 : a. are real and negative b. have negative real parts c. have positive real parts d. None of the above

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 are a. real and negative b.have negative real parts c. have positive real parts d. 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

Let a, b, c gt 0 . Then prove that both the roots of the equation ax^(2)+bx+c=0 has negative real parts.

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 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

Prove that both the roots of the equation (x-a)(x-b)+ (x-b)(x-c)+(x-a)(x-c)=0 are real.

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