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Let ABC and A′B′C′ be two triangles in which AB > A′B′, BC > B′C′ and CA > C′A′. Let D, E and F be the midpoints of the sides BC, CA and AB respectively. Let D′, E′ and F′ be the midpoints of the sides B′C′, C′A′ and A′B′ respectively.

Statement I: AD > A′D′, BE > B′E′ and CF > C′F′ are always true.
Statement II: (AB² + BC² + CA²)/(AD² + BE² + CF²) > 1

Which one of the following is correct in respect of the above statements?

Mathematics 2016 CDS Elementary Mathematics 2016 CDS 2016

Options

Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I

Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I

Statement I is true but Statement II is false

Statement I is false but Statement II is true