" S."sqrt(x)+2x=1" कi za anfore,"

The number of solutions (s) of the equation sqrt(x+1)-sqrt(x+1)=sqrt(4x+1) is /are -

The function f(x) = cot^(-1) sqrt(x(x+3)) + cos^(-1) sqrt(x^(2) + 3x +1) is defined on the set S, where S is equal to

The function f(x) = cot^(-1) sqrt(x(x+3)) + cos^(-1) sqrt(x^(2) + 3x +1) is defined on the set S, where S is equal to

The number of solution(s) of the equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) is/are

The number of real solution(s) of the equation sin^(-1)sqrt(x^(2)-x+1)+cos^(-1)sqrt(x^(2)-x)=pi is/are

The function f(x)=cot^(-1)sqrt((x+3)x)+cos^(-1)sqrt(x^(2)+3x+1) is defined on the set S , where S is equal to

Let S equiv {x in R : (sqrt 3 sqrt 2)^x (sqrt 3 - sqrt 2)^x = 10} . Then the number of elements in S is :