If `x ,y ,a n dz` are in G.P. and `x+3+,y+3,a n dz+3` are in H.P., then `y=2` b. `y=3` c. `y=1` d. `y=0`

If x,y,z are in G.P and a^x=b^y=c^z ,then

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 ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H.P. then prove that x/z+z/x=a/c+c/a .

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

If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n x ,y ,a n dz are in H.P. b. 1/x ,1/y ,1/z are in A.P. c. x ,y ,z are in G.P. d. 1/a+1/d=1/b=1/c

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

If cos(x-y),cosxa n d"cos"(x+y) are in H.P., then cosxsec(y/2)=

If cos(x-y),cosxa n d"cos"(x+y) are in H.P., then cosxsec(y/2)=

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these