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If (log)3(x^2-6x+11)lt=1, then the exhau...

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

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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

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,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)

Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4,oo] (d) none of these

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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]

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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 (a) (0,4) (b) (0,oo) (c) (-oo,-11) (d) (4,oo)

The values of a for which the integral int_0^2|x-a|dxgeq1 is satisfied are (a) (2,oo) (b) (-oo,0) (c) (0,2) (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)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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