Home
Class 12
MATHS
The solution of the system of equations ...

The solution of the system of equations `a^(2)x+ay+z=-a^(3),b^(2)x+by+z=-b^3, c^2x+cy +z=-c^(3)` is
(A) `x=-(a+b+c),y=ab+bc+ca,z=-abc`
(B) `x=(a+b+c),y=ab+bc+ca,z=-abc`
(C) `x=-(a-b-c),y=ab+bc+ca,z=-abc`
(D) None of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the system of equations : z+ay+a^(2)x+a^(3)=0z+by+b^(2)x+b^(3)=0z+cy+c^(2)x+c^(3)=0] where a!=b!=c

Suppose a, b and c are distinct and x,y and z are connected by the system of eqations x+ay+a^(2)z=a^(3),x+by+b^(2)z=b^(3) "and" x+cy+c^(2) z=c^(3).

Verify that (a +b + c) (a ^(2) + b ^(2) + c ^(2) - ab - bc - ca) = a ^(3) + b ^(3) + c ^(3)- 3 abc

The system of linear equations x + y + z = 0 (2x)/(a) + (3y)/(b) + (4z)/(c ) = 0 (x)/(a) + (y)/(b) + (z)/(c ) = 0 has non trivia solution then

If x = y^(a), y = z^(b) and z = x^(c), compute abc.

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals