If the arthmetic mean of `(b-c)^2, (c-a)^2 and (a-b)^2` is the same as that of `(b+c-2a)^2, (c+a-2b)^2 and (a+b-2c)^2 ` show that `a=b=c`.

If a,b,c are in AP , show that (a+2b-c) (2b+c-a) (c+a-b) = 4abc .

Simplify: (a+b+c)^(2)+(a-b+c)^(2)+(a+b-c)^(2)

If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

If a,b,c are in G.P., then show that : a(b^2+c^2)=c(a^2+b^2)

The determinant |a2\ a^2-(b-c)^2b c b^2b^2-(c-a)^2c a c^2c^2-(a-b)^2a b| is divisible by- a. a+b+c b. (a+b)(b+c)(c+a) c. a^2+b^2+c^2 d. (a-b)(b-c)(c-a)

If a^(2),b^(2),c^(2) are in A.P,then show that: b+c-a,c+a-b,a+b-c are in A.P.

If a^2 + b^2 + c^2 = 2(a -b -c)- 3 ,then the value of (a- b + c) is यदि a^2 + b^2 + c^2 = 2(a -b -c)- 3 तो (a- b + c) का मान है-

Using factor theorem,show that (a-b),(b-c) and (c-a) are the factors of a(b^(2)-c^(2))+b(c^(2)-a^(2))+c(a^(2)-b^(2))