Let the homogeneous system of linear equations `px + y + z=0, x + qy + z=0, and x + y + r z= 0`, where `p, q, r !=1`, have anon-zero solution, then the value of `1/(1-p)+1/(1-q)+1/(1-r)` is

Let the homogeneous system of linear equations px+y+z=0,x+qy+z=0, and x+y+rz=0 ,where p,q,r!=1, have anon-zero solution,then the value of (1)/(1-p)+(1)/(1-q)+(1)/(1-r) is

If pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

If px + qy + r = 0 and qx + py + r = 0 (x != y) , then show that the value of x + y " is " (-r)/(p) or (-r)/(q)

The value of a for which system of equations , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x + y + z = 0 , has a non-zero solution is:

The value of a for which system of equations , a^3x+(a+1)^3y+(a+2)^3z=0, ax+(a+1)y+(a+2)z=0, x + y + z = 0 , has a non-zero solution is:

If p q r!=0 and the system of equation (p+a)x+b y+c z=0 , a x+(q+b)y+c z=0 , a x+b y+(r+c)z=0 has nontrivial solution, then value of a/p+b/q+c/r is a. -1 b. 0 c. 1 d. 2

If p q r!=0 and the system of equation (p+a)x+b y+c z=0 , a x+(q+b)y+c z=0 , a x+b y+(r+c)z=0 has nontrivial solution, then value of a/p+b/q+c/r is a. -1 b. 0 c. 1 d. 2