Comprehension (3 questions together) Let a,b and c be three real numbers satisfying [197 [a b c] 8 2 [7 3 7 =10 0 7 ]

Let a, b and c be three real numbers satisfying [a" "b" "c"][{:(1,9,7),(8,2,7),(7,9,7):}]=[0"" "0""" "0] and alpha and beta be the roots of the equation ax^(2) + bx + c = 0 , then sum_(n=0)^(oo) ((1)/(alpha)+(1)/(beta))^(n) , is

Let a,b and c be real numbers such that a7b+8c and 8a+4bc=7, then find a^(2)-b^(2)+c^(2)

Let a,b and c be three real numbers satisfying [abc][[1,9,78,2,77,3,7]]=[000].........(E) If the point P(a,b,c),, with reference to (E), lies on the plane 2x+y+z=1, then the value of 7a+b+c is

Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7),(8,2,7),(7,3,7)]=[(0,0,0)] Let omega be a solution of x^(3)-1=0 with Im (omega) gt 0 . If a=2 with b and c satisfying (E), then the value of 3/omega^(a)+1/omega^(b)+3/omega^(c) is equal to

Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7),(8,2,7),(7,3,7)]=[(0,0,0)] Let omega be a solution of x^(3)-1=0 with Im (omega) gt 0 . If a=2 with b and c satisfying (E), then the value of 3/omega^(a)+1/omega^(b)+3/omega^(c) is equal to

Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7),(8,2,7),(7,3,7)]=[(0,0,0)] Let b=6 , with a and c satisfying (E). If alpha and beta are the roots of the quadratic equation ax^(2)+bx+c=0 , then sum_(n=0)^(oo) (1/alpha+1/beta)^(n) is

Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7),(8,2,7),(7,3,7)]=[(0,0,0)] Let b=6 , with a and c satisfying (E). If alpha and beta are the roots of the quadratic equation ax^(2)+bx+c=0 , then sum_(n=0)^(oo) (1/alpha+1/beta)^(n) is

Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0] If the point P(a,b,c) with reference to (E), lies on the plane 2x+y+z=1 , the the value of 7a+b+c is

Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0] Let omega be a solution of x^3-1=0 with Im(omega)gt0. I fa=2 with b nd c satisfying (E) then the vlaue of 3/omega^a+1/omega^b+3/omega^c is equa to (A) -2 (B) 2 (C) 3 (D) -3

Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0] Let omega be a solution of x^3-1=0 with Im(omega)gt0. I fa=2 with b nd c satisfying (E) then the vlaue of 3/omega^a+1/omega^b+3/omega^c is equa to (A) -2 (B) 2 (C) 3 (D) -3