`prod_(i=1)^89 tan i^@=`0 (A) 1 (B) `oo` (C) none of these

If sum_(i=1)^10 sin^-1 x_i = 5pi then sum_(i=1)^10 x_i^2 = (A) 0 (B) 5 (C) 10 (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

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

The value of prod_(k=0)^6 sin\ ((2k+1)pi)/14= (A) 1/16 (B) 1/64 (C) 1/32 (D) none of these

int_0^oo (xlogx)/(1+x^2)^2dx= (A) e (B) 1 (C) 0 (D) none of these

The values of x for which 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x) are in A.P. lie in the interval (A) (0,oo) (B) (1,oo) (C) (0,1) (D) none of these

If for the matrix A ,\ A^3=I , then A^(-1)= A^2 (b) A^3 (c) A (d) none of these

The value of tan1otan2otan3oddottan89o is (a) 1 (b) -1 (c) 0 (d) None of these

sum_(i=1)^(n)cos^(-1)alpha_(i)=0 then sum_(i=1)^(n)alpha_(i)(A)n(B)-n (C) 0 (D) None of these

The domain of definition of the function f(x)=ln{x}+sqrt(x-2{x}) is: (where { } denotes fractional part function) (A) (1,oo) (B) (0,oo) (C) (1,oo)~I^(+) (D) None of these