If `a_1, a_2, a_3,54,a_6,a_7, a_8, a_9` are in H.P., and `D=|a_1a_2a_3 5 4a_6a_7a_8a_9|` , then the value of `[D]i sw h e r e[dot]` represents the greatest integer function

If a_1,a_2,a_3,5,4,a_6,a_7,a_8,a_9 are in H.P. , and D=|(a_1,a_2,a_3),(5,4,a_6),(a_7,a_8,a_9)| , then the value of [D] is (where [.] represents the greatest integer function)

a_1 , a_2 , ......a_(10) are in G.P a_7/a_5=25 Find a_(10)/a_8

If a_1,a_2,a_3,. . . ,a_n. . . are in A.P. such that a_4−a_7+a_10=m , then sum of the first 13 terms of the A.P.is

Suppose a_1, a_, are real numbers, with a_1!=0. If a_1, a_2,a_3, are in A.P., then A=[a_1a_2a_3a_4a_5a_6a_5a_6a_7] is singular (w h e r ei=sqrt(-1)) The system of equations a_1x+a_2y+a_3z=0,a_4x+a_5y+a_6z=0,a_7x+a_8y+a_9=0 has infinite number of solutions. B=[a_1i a_2i a_2a_1] is non-singular none of these

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

If P=(1,2,3,4,5,6,7) and Q=(2,5,8,9) , then find P-Q.

Let a_1,a_2 ,…. , a_10 be in A.P. and h_1,h_2 …. h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :

If a_i,i=1,2,....,9 are perfect odd squares, then |[a_1,a_2,a_3],[a_4,a_5,a_6],[a_7,a_8,a_9]| is always a multiple of