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 the expression |sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-3-cos^(2)x)| where a and x are real numbers is

If (sqrt(2n^(2)+n)-lambda sqrt(2n^(2)-n))=(1)/(sqrt(2))( where lambda is real number),then

The value of the expression ((sin3theta)/(sintheta))^2-((cos3theta)/(costheta))^2,w h e ntheta=(7. 5)^0, is a. 4(sqrt(3)+1) b. (sqrt(3)-1) c. 2(sqrt(6)+sqrt(2)) d. 8/(sqrt(6)-sqrt(2))

The value of int_(0)^(sqrt(2))[x^(2)]dx ,where [.] is the greatest integer function (A) 2-sqrt(2) (B) 2+sqrt(2) (C) sqrt(2)-1 (D) sqrt(2)-2

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

5sin x+4cos x=3rArr4sin x-5cos x= a) 4 b) 4sqrt(2) c) 3sqrt(2) d) sqrt(2)

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

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

The value of I=int_(-sqrt(3)/2)^(sqrt(3)/2)(dx)/((1-x)sqrt(1-x^(2))) is

let a and b be real numbers such that sin a+sin b=(1)/(sqrt(2)) and cos+cos b=sqrt((3)/(2)) then