For x^2-(a+3)|x|=4=0 to have real soluti...

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

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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)

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

If (log)_3(x^2-6x+11)lt=1, then the exhaustive range of values of x is: (a) (-oo,2)uu(4,oo) (b) (2,4) (c) (-oo,1)uu(1,3)uu(4,oo) (d) none of these

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

Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /_CBA (pi)/(2) . Then the range of ordinate of C is (a) (-oo,0)uu (4,oo) (b) (-oo,0] uu[4,oo) (c) [0,4] (d) (-oo,0)uu [4,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 equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval a) (-oo,-4) (b) (-oo,0) c) (4,oo) (d) none of these

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4) (b) (-oo,0) (4,oo) (d) none of these

If f:R->R where f(x) = ax + cosx is an invertible function, then (a).(-2, -1]uu [1,2) ; (b).[-1,1] ; (c).(-oo, -1]uu [1,oo) ; (d).(-oo, -2]uu [2,oo) .

The solution set of the inequality max {1-x^2,|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo) (0,2) (d) (0,2)

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