The roots of the equation `|[x-1,1,1],[1,x-1,1],[1,1,x-1]|=0` are
`a) 1,2`
`(b) -1,2`
`(c) 1,-2`
`(d) -1,-2`

The roots of the equation |[1,1,1],[a,x,a],[b,b,x]|=0 are (a) 1,1, (b) 1,a (c) 1,b, (d) a,b

The roots of the equation det [(1-x, 2, 3),(0,2-x,0),(0,2,3-x)]=0 are (A) 1 and 2 (B) 1 and 3 (C) 2 and 3 (D) 1,2, and 3

The roots of the equation a(x^(2)+1)-(a^(2)+1)x=0 are

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

If the cube roots of unity are 1,omega,omega^(2), then the roots of the equation (x-1)^(3)+8=0 are -1,1+2 omega,1+2 omega^(2) b.-1,1-2 omega,1-2 omega^(2) c.-1,-1,-1 d.none of these

If a=1+b+b^2+b^3+…..to oo where |b|lt1 then roots of equation ax^2+x-ab=0 are (A) -1,ab (B) 1,b (C) -1, b (D) -1,a

The number of roots of the equation,x-(2)/(x-1)=1-(2)/(x-1) is 0(b)1(c)2(d)3

Roots of the equations |{:(x,,m,,n,,1),(a,,x,,n,,1),(a,,b,,x,,1),(a,,b,,c,,1):}|=0 are

The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is 2(b)3 (c) 1(d)0

Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0(b)1(c)2(d)3