If x!=0,y!=0,z!=0 and |[1+x,1,1],[1+y,1+...

If `x!=0,y!=0,z!=0` and `|[1+x,1,1],[1+y,1+2y,1],[1+z,1+z,1+3z]|=0`, then `x^(-1)+y^(-1)+z^(-1)` is equal to a.1 b.-1 c.-3 d. none of these

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if x ne 0 , y ne 0 ,z ne 0 " and " |{:(1+x,,1,,1),(1+y,,1+2y,,1),(1+z,,1+z,,1+3z):}|=0 then x^(-1) +y^(-1) +z^(-1) is equal to

If x , y , z are different from zero and |[1+x,1, 1],[1 , 1+y ,1],[ 1 ,1, 1+z]|=0 then the value of x^(-1)+y^(-1)+z^(-1) is (a) x y z (b) x^(-1)y^(-1)z^(-1) (c) -x-y-z (d) -1

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

If x , y , z are different from zero and |[1+x,1 ,1], [1, 1+y,1], [1, 1, 1+z]|=0 then the value of x^(-1)+y^(-1)+z^(-1) is (a) x y z (b) x^(-1)y^(-1)z^(-1) (c) -x-y-z (d) -1

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in A.P. and D=o,\ t h e n\ 2x^2z+x^2z^2 is equal to a. 1 b. 2 c. 3\ d. none of these

If x!=y!=z and |x x^2 1+x^3 y y^2 1+y^3 z z^2 1+z^3|=0 , then prove that x y z=-1 .

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in GP and D=0,\ t h e n\ y\ is equal to- a. 1 b. 2 c. 4\ d. none of these

If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[z, z^2, 1+z^3]|=0 then show that 1+xyz=0

[[1,-1,1],[2,-3,2],[1,3,-1]][[x],[y],[z]]=[[1],[-1],[1]] ,then [[x],[y],[z]] is equal to

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