If x,y and z are the `p^(th)`, `q^(th)` and `r^(th)` terms respectively of an A.P. and also of a G.P., then show that `x^(y-z)y^(z-x)z^(x-y)=1`

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 a.x y z b. 0 c. 1 d. none of these

If x,y and z are pth,>h and rth terms respectively of an A.P and also of a G.P. then x^(y-z)*y^(z-x)*z^(x-y) is equal to

If a,b,c,d are in A.P.and x,y,z are in G.P. then show that x^(b-c)*y^(c-a)*z^(a-b)=1

If p^(th),q^(th) and r^(th) terms of G.P.are x,y,x respectively then write the value of x^(q-r)y^(r-p)z^(p-q)

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

If p^(th) , q^(th) , r^(th) term of an A.P is x,y and z respectively. Show that x(q-r)+y(r-p)+z(p-q)=0

If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and be respectively x,y,z, then

If the m th, n th and p th terms of an AP and GP are equal and are x , y , z , then prove that x^(y-z) . y z^(x-y)=1 (1979, 3M)