The value of x + y + z is 15 if a, x, y, z, b are in A.P.
while the value of ` (1)/(x) + (1)/(y) + (1)/(z) + (1)/(z) is (5)/(3)` if a, x, y, z, b are
in H.P. the value of a and b are

(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) .

If x+y+z=1 , then the least value of (1)/(x)+(1)/(y)+(1)/(z) , is

If (1)/(x) , (1)/(y) , (1)/(z) are A.P. show that (y+z)/(x) , (z+x)/(y) , (x+y)/(z) are in A.P.

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

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

If x+z=1,y+z=1,x+y=4 then the value of y is

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

If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0