If a + b + c = 0 then

If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)x^(2) + (c + a - b)x + (a + b - c) = 0 , are

If a + b + c = 0 one root of |(a -x,c,b),(b,b -x,a),(b,a,c -x)|= 0 , is

If |(a,-b,a-b-c),(-a,b,-a+b-c),(-a,-b,-a-b+c)| - kabc = 0 (a != 0, b != 0, c != 0) then what is the value of k ?

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+b+c=0 the one root of |{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}| =0 is

If a+b+c!=0 and |a b c b c a c a b|=0 , then prove that a=b=cdot

If a+b+c!=0 and |a b c b c a c a b|=0 , then prove that a=b=cdot

The roots of the equation ax^2+bx + c = 0 will be imaginary if, A) a gt 0 b=0 c lt 0 B) a gt 0 b =0 c gt 0 (C) a=0 b gt 0 c gt 0 (D) a gt 0, b gt 0 c =0