Home
Class 12
MATHS
The system of linear equations x - 2y ...

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:

A

`a!= 2`

B

`a = 1`

C

No value of a

D

a = 2

Text Solution

Verified by Experts

The correct Answer is:
D
Check for `a = 2`
`D = D_1 = D_2 = D_3 = 0`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

The value of k in R, for which the following system of linear equation 3x - y + 4z = 3, x + 2y - 3z = - 2, 6x + 5y + kz = - 3, Has infinitely many solutions, is:

If the system of equations 2x 3y – z = 5 x alpha y 3z = –4 3x – y beta z = 7 has infinitely many solutions, then 13 alpha beta is equal to

The following system of linear equations 2x + 3y + 2z = 9 3x + 2y + 2z = 9 x - y + 4z = 8

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is

If the system of equation x - 2y + 5z = 3 2x - y + z = 1 and 11x - 7y + pz = q has infinitely many solution, then

The system of linear equations x+y+z =2, 2x+3y+2z = 5 2x +3y+ (a^(2)-1)z = a + 1

The system of linear equations x + y + z = 2 2x + y -z = 3 3x + 2y + kz = 4 has a unique solution, if

The system of equations lambda x + y + 3z = 0, 2x + mu y - z = 0, 5x + 7y + z = 0 has infinitely many solutions in R. Then,