CBSE Class 11-science Answered
if a,b,c are in AP ,x is the GM between a and b; y is the GM between b and c ; then show that b^2 is the AM between x^2 and y^2
Asked by | 29 Aug, 2012, 10:18: PM
Expert Answer
a, b, c are in AP.
So, 2b = a + c
x is the GM between a and b.
So, x2 = ab
y is the GM between b and c.
So, y2 = bc
Now, x2 + y2 = ab + bc = b(a + c) = 2b2
So, b2 = (x2 + y2)/ 2
Hence, b2 is the AM between x2 and y2.
Answered by | 29 Aug, 2012, 11:44: PM
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