Statement (1): If `a + b+c > 0 & a < b < c,` then the roots of the equation `a(x-b)(x-c)+b(x-c)(x-a)+c(x-a)(x-b)=0` are of both negative. Statement (2) : If both roots are negative, then sum of roots `< 0` and product of roots `>0.`

Statement 1: If b c+q r=c a+r p=a b+p q=-1, then |ap a p bq b q cr c r|=0(a b c ,p q r!=0)dot Statement 2: if system of equations a_1x+b_1y+c_1=0,a_2x+b_2y+c_2=0,a_3x+b_3y+c_3=0 has non -trivial solutions |a_1b_1c_1 a_2b_2c_2 a_3b_3c_3|=0

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

Statement-1: If a, b, c in Q and 2^(1//3) is a root of ax^(2) + bx + c = 0 , then a = b = c = 0. Statement-2: A polynomial equation with rational coefficients cannot have irrational roots.

Statement I: If a is perpendicular to b and c, then axx(bxxc)=0 Statement II: if a is perpendicular to b and c, then bxxc=0

Statement I: If a is perpendicular to b and c, then axx(bxxc)=0 Statement II: if a is perpendicular to b and c, then bxxc=0

Statement I: If a is perpendicular to b and c, then axx(bxxc)=0 Statement II: if a is perpendicular to b and c, then bxxc=0

Statement 1: If the sum of algebraic distances from point A(1,1),B(2,3),C(0,2) is zero on the line a x+b y+c=0, then a+3b+c=0 Statement 2: The centroid of the triangle is (1, 2)

Statement 1: If the sum of algebraic distances from point A(1,1),B(2,3),C(0,2) is zero on the line a x+b y+c=0, then a+3b+c=0 Statement 2: The centroid of the triangle is (1, 2)

Statement 1: If the sum of algebraic distances from point A(1,1),B(2,3),C(0,2) is zero on the line a x+b y+c=0, then a+3b+c=0 Statement 2: The centroid of the triangle is (1, 2)

Statement 1: If the sum of algebraic distances from point A(1,1),B(2,3),C(0,2) is zero on the line ax+by+c=0, then a+3b+c=0 statement 2: The centroid of the triangle is (1,2)