Let `a(a != 0)` is a fixed real number and `(a-x)/(px)=(a-y)/(qy)=(a-z)/(rz)`. If `p, q, r` are in A.P., show that `1/x,1/y,1/z` are in A.P.

Let a(a != 0) is a fixed real number and (a-x)/(p x) = (a-y)/(qy) = (a-z)/(r z) . If p, q, r are in A.P., show that (1)/(x), (1)/(y), (1)/(z) are in A.P.

If (a-x)/(p x)=(a-y)/(q y)=(a-z)/(rz) and p ,q ,and r are in A.P., then prove that x ,y ,z are in H.P.

Suppose a is a fixed real number such that (a - x)/(px) = (a - y)/(qy) = (a - z)/(rz) If p,q,r, are in A.P., then prove that x,y,z are in H.P.

Suppose a is a fixed real number such that (a - x)/(px) = (a - y)/(qy) = (a - z)/(rz) If p,q,r, are in A.P., then prove that x,y,z are in H.P.

If (a-x)/(px)=(a-y)/(qy)=(a-z)/(r) andp,q, andr are in A.P.,then prove that x,y,z are in H.P.

Suppose a' is a fixed real number such that (a-x)/(px)=(a-y)/(qy)=(a-z)/(rz) if p,q,r are in AP then x,y,z all are in

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

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

If x,1,z are in A.P. x,2,z are in G.P., show that 1/x,1/4,1/z are in A.P.

If (a-x)/(px) = (a-y)/(qy)= (a-z)/(rz) and p, q, r, be in A.P then x,y, z are in