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

If the intercepts made by the line y=mx by lines x=2 and x=5 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

Prove that the solution of (x+1)/(x+3)lt3 " is "(-oo,-4)cup(-3,oo)l.

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

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)

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

Show that range of the function (1)/(2cosx-1)" is "(-oo,-(1)/(3)]cup[1,oo)

If f(x)=(t+3x-x^2)/(x-4), where t is a parameter that has minimum and maximum, then the range of values of t is (0,4) (b) (0,oo) (-oo,4) (d) (4,oo)

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to (A) (-oo,2] (B) [2,oo] (C) [-oo,-2] (D) none of these