Let … be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle … and the same process is repeated infinitely many times. If … is the sum of perimeters and … is be the sum of areas of all the triangles formed in this process, then :

Option B. … is an equilateral triangle having side … unit

123days leftSign in

Sequences and Series

JEE Main 2024 · 6 Apr, Evening shift · Q5277

MathematicsHard178×since 2002Q5277

Let

A B C

be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle

A B C

and the same process is repeated infinitely many times. If

\mathrm{P}

is the sum of perimeters and

Q

is be the sum of areas of all the triangles formed in this process, then :