If `abc!=0` then `|{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|` is

If 1 + (1)/(a) + (1)/(b) + (1)/(c) = 0 , then Delta = |(1 +a,1,1),(1,1 +b,1),(1,1,1 +c)| is equal to

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

If a, b and c are all different from zero and Delta = |(1 +a,1,1),(1,1 +b,1),(1,1,1 +c)| = 0 , then the value of (1)/(a) + (1)/(b) + (1)/(c) is

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(b)+(1)/(c))

If ane0, bne0,cne0 " "and " |{:(1+a,1,1),(1+b,1+2b,1),(1+c,1+c,1+3c):}| =0 the value of |a^(-1)+b^(-1)+c^(-1)| is equal to

The value of the determinant |(1+a, 1, 1),(1, 1+a, 1),(1, 1, 1+a)| is zero if (A) a=-3 (B) a=0 (C) a=2 (D) a=1

If a,b,c and d are the roots of the equation x^(4)+2x^(3)+4x^(2)+8x+16=0 the value of the determinant |{:(1+a,1,1,1),(1,1+b,1,1),(1,1,1+c,1),(1,1,1,1+d):}| is

If a ,\ b ,\ c are the roots of the equation x^3+p x+q=0 , then find the value of the determinant |(1+a,1 ,1), (1, 1+b,1),( 1, 1 ,1+c)| .

If a^(-1)+b^(-1)+c^(-1)=0 such that |{:(1+a," "1," "1),(" "1,1+b," "1),(" "1," "1,1+c):}|=lambda , then what is lambda equal to ?

Show that 1+(1)/(a)+(1)/(b)+(1)/(c ) is a factor of |(1+a, 1, 1),(1, 1+b, 1),(1,1,1+c)| .