Q. 10 A5.0( 3 Votes )

If a, b, c are in A.P., prove that:

(a — c)2 = 4 (a — b)(b — c)

Answer :

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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