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

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 a^(2)+b^(2)+c^(2)=1, thenab +bc+ca lie in the interval [(1)/(3),2] b.[-1,2] c.[-(1)/(2),1] d.[-1,(1)/(2),]

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

if b+c=a^2, c+a=b^2 and a+b=c^2 then find the value of 1/(1+a) + 1/(1+b) +1/(1+c)

If a :(b+c)=1:3 a n d c :(a+b)=5:7, t h e b :(a+c) is equal to 1:2 b. 1:3 c. 2:3 d. 2:1

If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b c+c a=-1/2 (c) a^4+b^4+c^4=1/2 (d) a^4+b^4+c^4=3/2

If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc=3 then (1)/(a)+(1)/(b)+(1)/(c) is equal to a.1/2 b.2 c.1 d.0

Let a,b,c in R such that a^(2)+b^(2)+c^(2)=2bc,a^(2)+b^(2)+c^(2)!=0 . Then which of the following points lie on the line ax+by+c=0 , is : (A) (-1,2) (B) (1,2) (C) (-1,-2) (D) (2,-1)