If `a+b+c=0,a^2+b^2+c^2=4,t h e na^4+b^4+c^4` is_____.

If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval a. [1/3,2] b. [-1,2] c. [-1/2,1] d. [-1,1/2]

If 2a = 3b = 4c , then a : b : c will be

If a b^2c^3, a^2b^3c^4,a^3b^4c^5 are in A.P. (a ,b ,c >0), then the minimum value of a+b+c is (a) 1 (b) 3 (c) 5 (d) 9

If ab^2c^3,a^2b^3c^4,a^3b^4c^5 are in AP (a,b,cgt0) thgen the minimum value of a+b+c is

In triangle, A B Cif2a^2b^2+2b^2c^2=a^4+b^4+c^4, then angle B is equal to 45^0 (b) 135^0 120^0 (d) 60^0

If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c b. b c >0 c. a b >0 d. a b c<0

If c^(2) = a^(2) + b^(2) , then prove that 4s (s - a) (s - b) (s - c) = a^(2) b^(2)

Suppose A, B, C are defined as A=a^2b+a b^2-a^2c-a c^2 , B=b^2c+b c^2-a^2b-a b^2 - bc^2, and C=a^2c +'a c^2-b^2' c-b c^2, w h e r ea > b > c >0 and the equation A x^2+B x+C=0 has equal roots, then a ,b ,c are in AdotPdot b. GdotPdot c. HdotPdot d. AdotGdotPdot

Factorize the following |[3,a+b+c,a^3+b^3+c^3],[a+b+c,a^2+b^2+c^2,a^4+b^4+c^4],[a^2+b^2+c^2,a^3+b^3+c^3,a^5+b^5+c^5]|