If `x^2 -x+a-3 lt0` for at least one negative value of x, then complete set of values of 'a is

If 16-x^(2)>|x-a| is to be satisfied by at least one negative value of x, then complete set of values of 'a' is

If 9-x^2>|x-a | has atleast one negative solution, where a in R then complete set of values of a is

If 9-x^(2)>|x-a| has atleast one negative solution,where a in R then complete set of values of a is

If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x ' then the complete set of values of ' k ' is

If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x ' then the complete set of values of ' k ' is

If 2^(2x+2)-a*2(x+2)+5-4a>=0 has at least one real solution,then complete set of values of a is

" If "tan^(2)x+sec x=a+1" has at least one solution,then the complete set of values of "a" is "

If f(x)=x^(2)+2ax+10-3a is negative for atleast one real x .Then complete set of 'a' is

If 0lt alt 5, 0 lt blt 5 and (x^2+5)/2 = x -2 cos(a+bx) is satisfied for at least one real x then least value of (a+b)/pi is ?

If x^(2)-8x=209, and x lt0 , what is the value of |x+3| ?