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→Hints for difficult problems
= Hints for difficult problems =
= Hints for difficult problems =
#Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .[[Class10_progressions_problems#Problem 3|solution]]<br>
#Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .[[Class10_progressions_problems#Problem 3|solution]]<br>
#If 'a' be the arithmetic mean between 'b' and 'c', and 'b' the geometric mean between 'a' and 'c', then prove that 'c' will be the harmonic mean between 'a' and 'b'.[[Class10_progressions_problems#Problem 4|solution]]
#If 'a' be the arithmetic mean between 'b' and 'c', and 'b' the geometric mean between 'a' and 'c', then prove that 'c' will be the harmonic mean between 'a' and 'b'.[[Class10_progressions_problems#Problem 4|click here for solution]]
= Project Ideas =
= Project Ideas =
= Math Fun =
= Math Fun =