The vectors `(x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8)` are coplanar for (A) all values of x (B) `xlt0` (C) `xgt0` (D) none of these

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

If the points (-0,-1,-2),(-3,-4,-5),(-6,-7,-8) and (x,x,x) are non coplanar then x is (A) -2 (B) 0 (C) 3 (D) any real number

f(x)=sqrt((1)/(3-x-|x-3|)) is defined for (A) all real values of x (B) no real value of x (C) xgt3 (D) xlt3

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

If x satisfies |x-1|+x|x-2|+|x-3|ge6 , then A) 0 lexle4 B) xle-2 or xge4 C) x le0 or x ge4 , D) none of these

The value of the determinant |(x, x+a, x+2a),(x,x+2a, x+4a),(x, x+3a, x+6a)| is (A) 0 (B) a^3-x^3 (C) x^3-a^3 (D) (x-a)^3

If f(x)=x+(1)/(x),x>0, then its greatest value is -2(b)0(c)3(d) none of these