If `1^2+2^2+3^2+n^2=1015` then the value of n is equal to
(A) 13
(B) 14
(C) 15
(D) none of these

If (1-tan^(2)36^(@))/(2)=sqrt(a)-sqrt(b) ,then the value of (a+b) is equal to (a,b in N) (A)5 (B) 9 (C) 7 (D)None of these

((-3)/2)^(-1) is equal to 2/3 (b) 2/3 (c) 3/2 (d) none of these

If A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these

If for a square matrix A,A^2=A then |A| is equal to (A) -3 or 3 (B) -2 or 2 (C) 0 or 1 (D) none of these

S_(n)=[(1)/(1+sqrt(n))+(1)/(2+sqrt(2n))+...+(1)/(n+sqrt(n^(2)))] then (lim_(n rarr oo)S_(n) is equal to (A)log2(B)log4 (C) log 8 (D) none of these

If (FIGURE),the values of a and b are 1,2 (b) 2,3quad (c) 1,3 (d) None of these

If 2^(2n-1)=(1)/(8^(n-3)), then the value of n is a -2 b.2 c.0 d.3

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

If a_1=1\ a n d\ a_(n+1)=(4+3a_n)/(3+2a_n),\ ngeq1\ a n d\ if\ (lim)_(n->oo)a_n=n then the value of a_n is sqrt(2) b. -sqrt(2) c. 2\ d. none of these

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these