If `[(1,a,2),(1,2,5),(2,1,1)]` is non invertible then a= (A) 2 (B) 1 (C) 0 (D) -1

A=[{:(1,0,k),(2, 1,3),(k,0,1):}] is invertible for

If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2),(1,b,b^2) and (1,c,c^2) are non coplanar then the product abc equals (A) 2 (B) -1 (C) 1 (D) 0

If the rank of the matrix [[-1,2,5],[2,-4,a-4],[1,-2,a+1]] is 1 then the value of a is (A) -1 (B) 2 (C) -6 (D) 4

If A=[(1,1,2),(5,2,6),(-2,-1,-3)] then A is (A) nilpotent (B) idempotent (C) symmetric (D) none of these

If points (a ,\ 0),\ (0,\ b) and (1,\ 1) are collinear, then 1/a+1/b= (a) 1 (b) 2 (c) 0 (d) -1

If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^2)|=0 and vectors (1,a,a^2),(1,b,b^2) and (1,c,c^2) are hon coplanar then the product abc equals (A) 2 (B) -1 (C) 1 (D) 0

If A= [(1,0,1), (0,0,1),(a,b,2)] , then a I+b A+2A^2 equals (a) A (b) - A (c) a b\ A (d) none of these

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1/2 (C) 0 (D) 1/2

sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1/2 (C) 0 (D) 1/2

If A=[(1,2),(0,1)], then A^n= (A) [(1,2n),(0,1)] (B) [(2,n),(0,1)] (C) [(1,2n),(0,-1)] (D) [(1,n),(0,1)]