Let ABC be an equilateral triangle. A new triangle is formed by j… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 6 April, Shift 2Sum of Series

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

A
$P^2 = 36\sqrt{3}Q$
B
$P^2 = 6\sqrt{3}Q$
C
$P = 36\sqrt{3}Q^2$
D
$P^2 = 72\sqrt{3}Q$

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