InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
If `x ,y ,z`are in A.P. and `A_1`is the A.M. of `xa n dya n dA_2`is the A.M. of `ya n dz`, then prove that the A.M. of `A_1a n dA_2i sy`. |
|
Answer» Since x,y,z and in AP, we have x + z= 2y Since, ` A_(1)` is the AM between x and y, we have ` A_(1) =(x +y)/ 2` Since ` A_(2) ` is the AM between y and z, we have `A_(2) = (y +z)/ 2` AM between ` A_(1) and A_(2)= 1/2 (A_(1) +A_(2)) = 1/2{(x+y)/2 + (y+z)/2}` ` = ( x+2y +z)/4 = (4y)/4 =y` Hence, the AM between ` A_(1) and A_(2)` is y . |
|