A sequence `{a_(n)}` is said to be ------ a sequence if the limit `I=` finite.
(A) convergent
(B) divergent
(C) unbounded
(D) None of these

D,C and D in the sequence are :

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) rltmin{m,n} (B) rlemin{m,n} (C) r=min{m,n} (D) none of these

If A=[a_(ij)]_(mxxn) is a matrix of rank r then (A) r=min{m,n} (B) rlemin{m,n} (C) rltmin{m,n} (D) none of these

A =([a_(i j)])_(mxxn) is a square matrix, if (a) m n (c) m =n (d) None of these

Let {t_n} be a sequence of integers in G.P. in which t_4: t_6=1:4 and t_2+t_5=216. Then t_1 is (a). 12 (b). 14 (c). 16 (d). none of these

Look at the above sequence and mention the events A, B and C

If A=[a_(i j)] is a scalar matrix of order nxxn such that a_(i i)=k for all i , then trace of A is equal to n k (b) n+k (c) n/k (d) none of these

The region represented by the inequation system x ,\ ygeq0,\ ylt=6,\ x +ylt=3 is (a) Unbounded in first quadrant (b)Unbounded in first and second quadrants (c)Bounded in first and second quadrants (d)None of these

Let lta_(n)gt be an arithmetic sequence whose first term is 1 and ltb_(n)gt be a geometric sequence whose first term is 2 . If the common ratio of geometric sequence is half the common difference of arithmetic sequence, the minimum value of (a_(4)b_(1) + a_(3)b_(2) + 2a_(1)b_(3)) is equal to