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

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

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

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 :

Let a,b and c be three real numbers,such that a+2b+4c0. Then the equation ax^(2)+bx+c=0

Let a,b,c be real numbers such that a+2b+c=4. Find max(ab+bc+ca)

Let a,b,c be positive numbers,then the minimum value of (a^(4)+b^(4)+c^(2))/(abc)

Let a,b,c be positive real numbers in H.P. Statement -1: (a+b)/(2a-b)+(c+b)/(2c-b)ge4 Statement-2: (a)/(b)+(b)/(c)+(c)/(a)ge3