Home
Class 12
MATHS
If A and B are the two real values of k ...

If A and B are the two real values of k for which the system of equations `x+2y+z=1, x+3y+4z=k, x+5y+10z=k^(2)` is consistent, then A+B =

A

3

B

4

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the system of equations x-y+z=0,x+2y-z=0,2x+y+3z=0

If the system of equation x+y+2z =3, x + 2y + 3z =4 and x + cy + 2xz =5 is inconsistent, then

The system of equations x+y+z=6, x+2y+3z=10,x+2y+lamdaz=mu is inconsistent if

The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

The system of equations 4x+y+2z=5, x-5y+3z=10, 9x-3y+7z=20 has

The system of equations x+y+z=6, x+2y+3z=14, x+4y=7z=30 has

The System of equation -2x-y+z=a,x-2y+z=b,x+y-2z=c is inconsistent if

For the equations x+2y+3z=1, 2x+y+3z=2, 5x+5y+9z=4

Examine the consistency of the system of equations x+ y +z=1 2x+ 3y +2z =2 ax+ay +2az =4

The number of Solutions of the system of equations 2x + y -z = 7, x - 3y + 2z =1, x+4y -3z =5 is