Home
Class 12
MATHS
If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^...

If `a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0` then `a+b+c=0` b. `a b+b c+c a=0` c. `a^2+b^2+c^2=a b+b c+c a` d. `a b c=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

If a!=b!=c\ and\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 then A. a+b+c=0 B. a b+b c+c a=0 C. a^2+b^2+c^2=a b+b c+c a D. a b c=0

If a^2+b^2+c^2-a b-b c-c a=0, then (a) a+b=c (b) b+c=a (c) c+a=b (d) a=b=c

If : a^2+b^2+c^2-a b-b c-c a=0 , prove that a=b=c

Prove: |(0,b^2a, c^2a),( a^2b,0,c^2b),( a^2c, b^2c,0)|=2a^3b^3c^3

Prove: |(0,b^2a, c^2a),( a^2b,0,c^2b),( a^2c, b^2c,0)|=2a^3b^3c^3

If a^2+b^2+c^2=20 and a+b+c=0 , find a b+b c+c a

Prove: |((b+c)^2, a^2, b c) ,((c+a)^2, b^2 ,c a),( (a+b)^2, c^2, a b)|=(a-b)(b-c)(c-a)(a+b+c)(a^2+b^2+c^2) .

If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a. a=b=c=0 b. a+b+c+=0 c. (a-b)^2+(b-c)^2+(c-a)^2=0 d. a^3+b^3+c^3+3a b c=0

If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+b+c+=0 c. (a-b)^2+(b-c)^2+(c-a)^2=0 d. a^3+b^3+c^3+3a b c=0

If a^2+b^2+c^2-a b-b c-c a=0, then find the relation between a,b and c