" i) "(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

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

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

Without expanding, prove the following |(a,b-c,c-b),(a-c,b,c-a),(a-b,b-a,c)|=(a+b-c)(b+c-a)(c+a-b)