If `x` is real, then `x//(x^2-5x+9)` lies between `-1a n d-1//11` b. `1a n d-1//11` c. `1a n d1//11` d. none of these

if x is real,show that (x)/(x^(2)-5x+9) always lies in the interval [-(1)/(11),1]

tan^(-1)1/(11)+tan^(-1)2/(11) is equal to (a) 0 (b) 1//2 (c) -1 (d) none of these

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If "Delta"D B C :"Delta"A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

The value of the determinant of n^(t h) order, being given by |x1 11x11 1x | is (x-1)^(n-1)(x+n-1) b. (x-1)^n(x+n-1) c. (1-x)^(-1)(x+n-1) d. none of these

If the largest interval to which x belongs so that the greatest therm in (1+x)^(2n) has the greatest coefficient is (10/11, 11/10) then n= (A) 9 (B) 10 (C) 11 (D) none of these

If x real and y= (x^2-x+3)/(x+2) , then (A) yge1 (B) yge11 (C) yle-11 (D) -11ltylt1

If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

In the expansion of [(1+x)/(1-x)]^(2), the coefficient of x^(n) will be 4n b.4n-3 c.4n+1 d.none of these

The range of the function f(x)=x/(|x|) is R-{0} b. R-{-1,1} c. {-1,1} d. none of these

The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x)) is (-oo,-2]uu[2,oo) b. [-1,1] c. varphi d. none of these