Mathematics

Mathematics

Problem

The length of the edge of the regular tetrahedron

ABCD

is '

a

'. Points

E

and

F

are taken on the edges

AD

and

BD

respectively such that '

E

' divides

DA

and '

F

' divides

BD

in the ratio

2:1

each. Then, area of

\Delta CEF

is a.

\frac{5a}{12\sqrt{3}}

sq units b.

\frac{a}{12\sqrt{3}}

sq units c.

\frac{a^2}{12\sqrt{3}}

sq units d.

\frac{5a^2}{12\sqrt{3}}

sq units

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