If point `(a ,a)` lies in between the lines `|x+y|=6` , then `' a '` may satisfy ([.] denotes G.I.F.)
(a) `[a]=[pi]`
(b) `[a]=[e]`
(c) `a in (4,oo)`
(d) `a in [-oo,-3]`

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)

e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (a) a in (-oo,0) (b) a in (-oo,0] (c) a in R (d) a in (-oo,2]

A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and the line y=0 . If the point (a ,a+1) lies in the interior of the region, then (a) a in (-4,3) (b) a in (-oo,-1) ∪ (3,oo) (c) a in (-1,3) (d) none of these

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

If the range of f(x) =cos^(-1)[5x] is {a, b,c} and a+b+c = (lambda pi)/(2) , then lambda is equal to ([.] denotes G.I.F.)

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)

y= f(x) is a polynomial function passing through point (0, 1) and which increases in the intervals (1, 2) and (3, oo) and decreases in the intervals (-oo,1) and (2, 3). If f(1)= -8, then the range of f(x) is (a) [3,oo) (b) [-8,oo) (c) [-7,oo) (d) (-oo,6]

If the point (lambda,lambda+1) lies inside the region bounded by the curve x=sqrt(25-y^2) and y-a xi s , then lambda belongs to the interval (-1,3) (b) (-4,3) (c) (-oo,-4)uu(3,oo) (d) none of these

The angle between the tangents to the parabola y^2=4a x at the points where it intersects with the line x-y-a=0 is (a) pi/3 (b) pi/4 (c) pi (d) pi/2

The solution of system of linear inequalities in x represented on line as (i) x in ( - oo,-4) cup [3,oo) (ii) x in (- oo, -4] cup (5,oo) (iii) x in (- oo , -3) cup (5,oo) (iv) x in (-oo , -4) cup [ 5,oo)