For `x^2-(a+3)|x|=4=0` to have real solutions, the range of `a` is `(-oo,-7]uu[1,oo)` `(-3,oo)` `(-oo,-7]` `[1,oo)`

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)

If the equation x^(3)-12x+a=0 has exactly one real root,then range of a is equal to (-oo,-16)uu(16,oo)( b) {-16,16}(-16,16)(d)(-oo,-16)uu[16,oo)

The complete set of values of a so that equation sin^(4)x+a sin^(2)x+4=0 has at least one real root is (A)(-oo,-5] (B) (-oo,4]uu[4,oo)(C)(-oo,-4](D)[4,oo)

The quadratic equation (a+3)x^(2)-ax+1=0 has two distinct real solutions a) for a in(-2,6) b) for a in(-oo,0)uu(7,oo) c) for a in(-oo,-2)uu(6,oo)-{-3} d) for a in(0,7)

If e^(x)+e^(f(x))=e, then the range of f(x) is (-oo,1](b)(-oo,1)(1,oo)(d)[1,oo)

The range of a for which the equation x^(2)+ax-4=0 has its smaller root in the interval (-1,2)is(-oo,-3) b.(0,3) c.(0,oo) d.(-oo,-3)uu(0,oo)

If log_(3)(x^(2)-6x+11)<=1, then the exhaustive range of values of x is: (-oo,2)uu(4,oo)(b)(2,4)(-oo,1)uu(1,3)uu(4,oo)(d) none of these

If the root of the equation (a-1)(x^(2)-x+1)^(2)=(a+1)(x^(4)+x^(2)+1) are real and distinct,then the value of a in a.(-oo,3] b.(-oo,-2)uu(2,oo) c.[-2,2] d.[-3,oo)

Q.The set of all the solutions of the inequality log_(1-x)(x-2)>=-1 is (A)(-oo,0)(B)(2,oo)(C)(-oo,1)

If |x+3|>=10, then x in(-13,7] b.x in(-oo,-13)uu(7,oo) c.x in(-13,7) d.x in(-oo,-13]uu[7,oo)