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Question

If x,y,z are in A.P. and A.M. of x and y is a and that to y and z is b, then A.M. of a and b is.
  1. x
  2. y
  3. z
  4. 12(x+y)

A
x
B
12(x+y)
C
y
D
z
Solution
Verified by Toppr

Given x,y,z are in A.P 2y=x+z
a is A.M of x and y a=x+y2
and b is A.M of y and z b=y+z2
A.M of a and b is =a+b2=x+2y+z4=y
Hence, option 'B' is correct.

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