If `a, x, y, z, b` are in AP, then `x+y+z=15` and if `a,x,y,z, b` are in HP. then `1/x + 1/y + 1/z = 5/3`. Numbers `a, b` are

Given that x+y+z =15 when a,x,y,z,b are in A.P and 1/x+1/y+1/z=5/3 when a,x,y,z,b are in H.P .Then

(i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b (ii) If x,y,z are in HP, then show that log (x +z) + log (x +z -2y) = 2 log ( x -z) .

The value of x+y+z is 15 if a,x,y,z,b are in AP while 1/x+1/y+1/z is 5/3 if a,x,y,z,b are in HP ,then the value of a is

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

If x, y and z are in AP and tan^(-1) x, tan^(-1) y " and " tan^(-1) z are also in AP, then

a, b, x are in AP, a, b, y are in GP and a, b, z are in HP, then prove that 4z(x-y)(y-z)=y(x-z)^2 .