" (ii) "(a+b,b+c)" and "(a-b,c-b)

Find the distance between following pair of points (a+b,b+c) and (a-b,c-b)

The distance between the points (a + b , b + c) and (a-b , c-b) does not depend on

Find the distance between the points A and B whereA=(a+b,b+c),B=(a-b,c-b)"

Prove: \ |(a, b, c),( a-b,b-c,c-a),( b+c,c+a, a+b)|=a^3+b^3+c^3-3a b c

If (b + c) (y + z) - ax = b - c, (c + a) (z + x) - by = c - a and (a + b) (x + y) - cz = a - b , where a + b + c ne 0, then x is equal to a) (c + b)/(a + b + c) b) (c - b)/(a + b + c) c) (a - b)/(a + b + c) d) (a + b)/(a + b + c)

If a,b,c are in G.P., then (A) (a-b)/(b-c)=a/a (B) (a-b)/(b-c)=a/b (C) (a-b)/(b-c)=a/c (D) (a-b)/(b-c)=b/a

If a,b,c and d are any four consecutive coefficients in the expansion of (1 + x)^(n) , then prove that (i) (a) /(a+ b) + (c)/(b+c) = (2b)/(b+c) (ii) ((b)/(b+c))^(2) gt (ac)/((a + b)(c + d)), "if " x gt 0 .

If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-c)/(b+c) (c) (b+c)/(b-c) (d) (b+c)/a

If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-c)/(b+c) (c) (b+c)/(b-c) (d) (b+c)/a