If `x >1,y >1,a n dz >1` are in G.P., then `1/(1+lnx),1/(1+l ny)a n d1/(1+l nz)` are in a. `AdotPdot` b. `HdotPdot` c. `GdotPdot` d. none of these

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.

If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), then sinA ,sinB ,sinC are in (a) AdotPdot (b) GdotPdot (c) HdotPdot (d) none of these

If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P. c. H.P. d. none of these

If x ,y ,a n dz are distinct prime numbers, then (a). x , y , a n dz may be in A.P. but not in G.P. (b) x , y , a n dz may be in G.P. but not in A.P. (c). x , y , a n dz can neither be in A.P. nor in G.P. (d).none of these

If a ,b ,c are in G.P. and a^(1//x)=b^(1//y)=c^(1//z), then x y z are in AP (b) GP (c) HP (d) none of these

If a,b,c,d be in G.P. and a^x=b^y=c^z=d^w , prove that 1/x,1/y,1/z,1/w are in A.P.

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

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

If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then a ,b ,c are in (a). A.P. (b). G.P. (c). H.P. (d). none of these