Home
Class 12
MATHS
An ordered pair (alpha, beta) for which ...

An ordered pair `(alpha, beta)` for which the system of linear equations `(1+alpha)x+betay+z=2`, `alphax+(1+beta)y+z=3` and `alphax+betay+2z=2` has unique solution is: (a) (2,4) (b) (-3,1) (c) (-4,2) (d) (1,-3)

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

An ordered pair (alpha, beta) for which the system of linear equations (1 + alpha) x beta y +z = 2 alphax + (1+beta)y+z = 3 alphax + beta y + 2z = 2 has a unique solution, is

For what ordered pair (alpha, beta) the system of equations (1+alpha)x+betay+z=0, alphax+(1+beta)y+z=0 ax+betay+2z=0 has unique solution (A) (-3,1) (B) (2,4) (C) (-4,2) (D) (1,-3)

For what value(s) of alpha will the system of linear equations alphax + 3y = alpha - 3 and 12x + alpha y = alpha has a unique solution?

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

The values of alpha for which the system of equations alphax-3y+z=0, x+alphay+3z=1, 3x+y+5z=2 , does not have unique solution are

The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1 has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (D) -2

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for: