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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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)

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 the intercepts made by the line y=mx by lines y=2 and y=6 is less than 5, then the range of values of m is a. (-oo,-4/3)uu(4/3,oo) b. (-4/3,4/3) c. (-3/4,4/3) d. none of these

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)

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 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 cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of values of c is (a) (2,oo) (b) (4,oo) (c) (-oo,-2) (d) (-oo,-4)

If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal functions, then the maximum range of value of x is (a) [-pi/2,-1]uu[1,pi/2] (b) [-pi/2,0]uu[0,pi/2] (c) (-oo,-1)uu[1,oo] (d) [-1,0]uu[0,1]

If f(x)=x^2+x+3/4 and g(x)=x^2+a x+1 be two real functions, then the range of a for which g(f(x))=0 has no real solution is (A) (-oo,-2) (B) (-2,2) (C) (-2,oo) (D) (2,oo)

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