For `x in R ,` find all possible values of `|x-3|-2` (ii) `4-|2x+3|`

Find all possible values of (x^2+1)/(x^2-2) .

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

Find all possible values of expressions (2+x^2)/(4-x^2)

If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values of a

Find the possible values of sqrt(|x|-2) (ii) sqrt(3-|x-1|) (iii) sqrt(4-sqrt(x^2))

If the equation 4y^(3) - 8a^(2)yx^(2) - 3ay^(2)x +8x^(3) = 0 represents three straight lines, two of them are perpendicular, then sum of all possible values of a is equal to

Find all the possible values of following expressions : (i) ( |x|)/(x) + (|y|)/y (ii) |x|/x+|y|/y+|z|/z

If f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)(lambda^2-5lambda+3)x+10 is a decreasing function for all x in R , find the permissible values of lambdadot

For 2 lt x lt 4 find the values of |x|. (ii) For -3 le x le -1 , find the values of |x|. (iii) For -3 le x lt 1, find the values of |x| (iv) For -5 lt x lt 7 find the values of |x-2| (v) For 1 le x le 5 find fthe values of |2x -7|