Q. 10 A5.0( 3 Votes )

# If a, b, c are in A.P., prove that:(a — c)2 = 4 (a — b)(b — c)

Given: a, b, c are in AP

a + c = 2b

…(i)

Now taking RHS i.e. 4(a – b)(b – c)

[from(i)]

(a – c)2

= LHS

Hence Proved

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