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 `-1` b. `0` c.`0""` d. `not-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

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 c+b y+(r+c)z=0 has nontrivial solution, then value of 1/p+b/q+c/r is -1 b. 0 c. 0"" d. not-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 c+b y+(r+c)z=0 has nontrivial solution, then value of a/p+b/q+c/r is -1 b. 0 c. 0"" d. not-2

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

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 the system of equations ax+y+z=0, x+by+z=0, x+y+cz=0 has a nontrivial solution. Where a!=1,b!=1,c!=1 , then a+b+c-abc=

If the system of equations x - 2y +z = a , 2x + y - 2z = b, x +3y - 3z = c, has at least one solution, then a) a + b + c = 0 b) a - b + c = 0 c) -a + b + c = 0 d) a + b - c = 0

Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has no non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

Statement 1: If b c+q r=c a+r p=a b+p q=-1, then |ap a p bq b q cr c r|=0(a b c ,p q r!=0)dot Statement 2: if system of equations a_1x+b_1y+c_1=0,a_2x+b_2y+c_2=0,a_3x+b_3y+c_3=0 has non -trivial solutions |a_1b_1c_1 a_2b_2c_2 a_3b_3c_3|=0