UPSC 2016 CDS I Math Paper

Question : 26 of 100

Marks: +1, -0

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. Consider the following statements :
Statement I : AD>A′D′,BE>B′E′ and CF>C′F′ are always true.
Statement II :

AB2+BC2+CA2

AD2+BE2+CF2

A′B′2+B′C′2+C′A′2

A′D′2+B′E′2+C′F′2

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

[2016 CDS-I]

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

Validate

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