Home
Class 12
MATHS
The system of equations kx+(k+2)y+(k-2)z...

The system of equations `kx+(k+2)y+(k-2)z=0, (k+2)x+ky+(k+4)z=0 (k-2)x+(k+4)y+kz=0` has a non - trivial solution for

A

exactly one real value of k

B

exactly two real values of k

C

infinite real values of k

D

no real value of k

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The system of equations {:(kx+(k+1)y+(k-1)z=0),((k+1)x+ky+(k+2)z=0),((k-1)x + (k+2)y+kz=0):} has a nontrivial solution for :

Show that the homogenous system of equations x - 2y + z = 0, x + y - z = 0, 3 x + 6y - 5z = 0 has a non-trivial solution. Also find the solution

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z = 2 (k +2) z = 3 have a unique solution if k equals

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

The number of integral value(s) of k such that the system of equations kz-2y-z=x, ky-z=z+3x and 2x+kz=2y-z has non - trivial solution, is/are

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4