" (C) "sqrt(3x+1)-sqrt(x-1)=2

" 2.(i) sqrt(3x+1)-sqrt(x-1)=2

Solve sqrt(3x+1)-sqrt(x-1)=2 .

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

intsqrt(x/(1-x))\ dx is equal to (a) sin^(-1)sqrt(x)+C (b) sin^(-1){sqrt(x)-sqrt(x(1-x))}+C (c) sin^(-1){sqrt(x(1-x))}+C (d) sin^(-1)sqrt(x)-sqrt(x(1-x))+C

int(1)/(sqrt(3x+2)+sqrt(3x+1))

min[(x_1-x_2)^2+(3+sqrt(1-x_1^2)-sqrt(4x_2))^2],AAx_1,x_2 in R , is (a) 4sqrt(5)+1 (b) 3-2sqrt(2) (c) sqrt(5)+1 (d) sqrt(5)-1