If `x ,y ,z` are real and `4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z` are in a. A.P. b. G.P. c. H.P. d. none of these

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

If x ,y ,a n dz are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x y ,t h e nu is always a. non-negative b. zero c. non-positive d. none of these

If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ,tanz are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.

Find the x, y, and z, given that the number x, 10, y, 24, z are in A.P.

The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a. 3 b. no least value c. 0 d. none of these

The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a. 1 b. no least value c. 0 d. none of these

If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n x ,y ,a n dz are in H.P. b. 1/x ,1/y ,1/z are in A.P. c. x ,y ,z are in G.P. d. 1/a+1/d=1/b=1/c