Question 1

which of the following is/are true?

A.(2/a-b) (b-a/2) =-1.

B.If x=-1/2 and y=-2 then -x^2 - 4x/y +y^2=2 3/4.

C.√1-x /√x-1 is defined for all x€R,x is not equal to 1.

Question 2

The solution set of -x-√2x^2 +x -5 = 1 is

1.Q
2.{-2}
3.{-2,3}
4.{3}
5.R

first part already answered

I suspect a typo, what with the -x and +x, leaving you with
√2 x^2-5=1
√2 x^2 = 6
x^2 = 6
hmmm. not what you expected. How about

√(2x^2)-5=1
2x^2=36
x^2=18
Hmmm.

Better clean up your notation a bit.