If x, y, z are in A.P. and `t a n^(-1)x ,""t a n^(-1)y"" and ""t a n^(-1)z` are also in A.P., then (1) `2x""=""3y""=""6z` (2) `6x""=""3y""=""2z` (3) `6x""=""4y""=""3z` (4) `x""=""y""=""z`

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are also in A.P. then show that x=y=z and y≠0

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

If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in A.P., then x/z+z/x is equal to

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 A.P. and x^(2),y^(2),z^(2) are in H.P., then which of the following is correct ?

The equation of the plane containing the line 2x-5y""+""z""=""3;""x""+""y""+""4z""=""5 , and parallel to the plane, x""+""3y""+""6z""=""1 , is : (1) 2x""+""6y""+""12 z""=""13 (2) x""+""3y""+""6z""=-7 (3) x""+""3y""+""6z""=""7 (4) 2x""+""6y""+""12 z""=-13

If x, y, z in R are such that they satisfy x + y + z = 1 and tan^(-1)x+tan^(-1)y+tan^(-1)z=(pi)/(4) , then the value of |x^(3)+y^(3)+z^(3)-3| is

If distinct numbers x,y,z are in G.P. and 1/(x+a),1/(y+a),1/(z+a) are in A.P., prove that a=y .

If (x+y)/(1-xy),y,(y+z)/(1-yz) be in A.P., " then " x,(1)/(y),z will be in

If x,y,z are in G.P. (x,y,z gt 1) , then (1)/(2x+log_(e)x) , (1)/(4x+log_(e)y) , (1)/(6x+log_(ez)z) are in