If `3(2-x)>=2(1-x)` then the value of x lies in the interval
(A) `(-oo ,-4)`
(B) `(-oo, 4]`
(C) `[4 ,oo)`
(D) `[-4 ,oo)`

x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the interval (a).(- oo ,2) (b). (3, oo ) (c). (5, oo ) (d).(1, oo )

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

If the point (2,k) lies outside the circles x^2+y^2+x-2y-14=0a n dx^2+y^2=13" then k" lies in the interval (a) (-3,-2)uu(3,4) (b) (-3,4) (c) (-oo,-3)uu(4,oo) (d) (-oo-2)uu(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)

The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) (b) (-1,\ oo) (c) (-oo,\ oo) (d) (0,\ 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

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 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)

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 a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0 , then the set of values of a is (A) (-oo,3)uu(9/2,oo) (B) (3,9/2) (C) (-oo,3) (D) (9/2,oo)