If arithmetic mean & harmonic mean of three numbers `a, b, c` are `4` and `3` respectively, then the value of `(a(b^(2)+c^(2))+b(c^(2)+a^(2))+c(a^(2)+b^(2)))/(abc)` is

Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) + b^(2)) cos C = 3abc

If a, b, c are positive real number such that lamba abc is the minimum value of a(b^(2)+c^(2))+b(c^(2)+a^(2))+c(a^(2)+b^(2)) , then lambda =

If a, b, c are three distinct positive real numbers, then the least value of ((1+a+a^(2))(1+b+b^(2))(1+c+c^(2)))/(abc) , is

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

If a,b,c be in arithmetic progession, then the value of (a+2b-c) (2b+c-a) (a+2b+c), is

Which of the following is equivalent to (2b^(3)c^(2)+b^(2)c)-(b^(3)c^(2)-b^(2)c-4bc) ?

If three sides a,b,c of a triangle ABC are in arithmetic progression, then the value of cot(A/2), cot(B/2), cot(C/2) are in

If a = 2, b = 3 and c = -2, find the value of a^(2)+b^(2)+c^(2)-2b-2bc-2ca+3abc

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is