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

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

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

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

The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+oo will be a. x^n b. x^(-n) c. (1-1/x)^n 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

If |(x^n ,x^(n+2), x^(2n)),(1, x^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

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

The n^(t h) term of the sequence 5+55+555+... is a. 5xx10^(n-1) b. 5xx11^(n-1) c. 5/9(10^n-1) d. none of these

The value of (lim)_(x->oo)(n !)/((n+1)!-(n)!) is a. 1 b . -1 c. 0 d. none of these