`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`

If x=sqrt(5)+2, then x-(1)/(x) equals 2sqrt(5)(b)4 (c) 2 (d) sqrt(5)

5^(sqrt(x^(2)+1))+(sqrt(x^(2)+1))^(5) w.r.t.x

If (sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))=3 then x=1)sqrt((2)/(3)2)sqrt((1)/(3))3)sqrt((2)/(5))sqrt((3)/(5))

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+c (b) 2sqrt(1+sqrt(1+x^2))+c (c) 2(1+sqrt(1+x^2))+c (d) 4sqrt(1+sqrt(1+x^2))+c

(12)/(3+sqrt(5)+2sqrt(2)) is equal to 1-sqrt(5)+sqrt(2)+sqrt(10) (b) 1+sqrt(5)+sqrt(2)-sqrt(10) (c) 1+sqrt(5)-sqrt(2)+sqrt(10) (d) 1-sqrt(5)-sqrt(2)+sqrt(10)

int_(1)^((4sqrt(3))/(5)-1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

int_(-1)^((1)/(2))(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2))) is equal to (sqrt(e))/(2)(sqrt(3)+1) (b) (sqrt(3e))/(2)sqrt(3e)(d)sqrt((e)/(3))

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+.oo))), then ) the value of x is (A)(sqrt(7)+1)/(2) (B) (sqrt(6)+1)/(2)(C)(sqrt(3)+1)/(2) (D) (sqrt(5)+1)/(2)