Let `a, b` and `c` be three real numbers satisfying `[a b c] [(1,9,7),(8,2,7),(7,3,7)] =[0 00] ........(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 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 (A) 0 (B) 12 (C) 7 (D) 6

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

If a^(3) = 1 + 7, 4^(2) = 1 + 5 + b , 5^(3) = 1 + 8 + c , then the value of a + 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 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 (A) 6 (B) 7 (C) 6/7 (D) oo

If a^(3) = 1 + 7 , 3^(3) = 1 + 7 + b, 4^(4) = 1 + 7 + c , then the value of a + b + c is

Let P(a, b, c) be any on the plane 3x+2y+z=7 , then find the least value of 2(a^2+b^2+c^2) .

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