The maximum value of the expression `|sqrt(sin^2x+2a^2)-sqrt(2a^2-1-cos^2x)|` , where `aa n dx` are real numbers, is `sqrt(3)` (b) `sqrt(2)` (c) `1` (d) `sqrt(5)`

The maximum value of y = sqrt((x-3)^(2)+(x^(2)-2)^(2))-sqrt(x^(2)-(x^(2)-1)^(2)) is

Number of real solutions of sqrt(2x-4)-sqrt(x+5)=1 is

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

int_(-1)^(1/2)(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))i se q u a lto (sqrt(e))/2(sqrt(3)+1) (b) (sqrt(3e))/2 sqrt(3e) (d) sqrt(e/3)

Find the values of x for which expression sqrt(1-sqrt(1-sqrt(1-x^(2)))) is meaningful.

The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x ,y ,z is (a) sqrt(2) (b) 2sqrt(2) (c) 4sqrt(2) (d) 8sqrt(2)

If x ,y in R satify the equation x^2+y^2-4x-2y+5=0, then the value of the expression [(sqrt(x)-sqrt(y))^2+4sqrt(x y)]//(x+sqrt(x y)) is a. sqrt(2)+1 b. (sqrt(2)+1)/2 c. (sqrt(2)-1)/2 d. (sqrt(2)+1)/(sqrt(2))

The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),sin^(-1)alpha are the angles of a triangle is (-1)/(sqrt(2)) (b) 1/2 (c) 1/(sqrt(3)) (d) 1/(sqrt(2))

int_(1/sqrt(3))^(sqrt(3))(dx)/(1+x^(2))

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is