Let a,b,c be positive real parameter and `ax^2+ b/x^2gec, AA xepsilonR` then
(A) `c^2ge4ab`
(B) `4cgeb^2`
(C) `4bcgec^2`
(D) `4acltb^2`

Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR then (A) 4abgec^2 (B) 4cgeb^2 (C) 4bcgec^2 (D) 4acltb^2

Let a,b,c be positive real numers such that bx^2+(sqrt(((a+c)^2+4b^2))x +(a+c),=0, AA x epsilon R, then a,b,c are in (A) G.P. (B) A.P. (C) H.P. (D) none of these

If a,b,c are positive real numbers such that a + b +c=18, find the maximum value of a^2b^3c^4

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4

The expression y = ax^2+ bx + c has always the same sign as of a if (A) 4ac b^2 (C) 4ac= b2 (D) ac < b^2

Let a,b,c , d ar positive real number such that a/b ne c/d, then the roots of the equation: (a^(2) +b^(2)) x ^(2) +2x (ac+ bd) + (c^(2) +d^(2))=0 are :

If a,b,c are positive real numbers, then the number of real roots of the equation ax^2+b|x|+c is

Let a ,b ,and c be real numbers such that 4a+2b+c=0 and a b > 0. Then the equation a x^2+b x+c = 0

Factorise : 2ab^(2) c - 2a + 3b^(3) c - 3b - 4b^(2) c^(2) + 4c