IIT JEE , AIEEE Forum - Mathematics , Differential Calculus

Mr.IITIAN007

An equilateral triangle of side 'a' units is inscribed in a circle of radius R .A new circle is inscribed in the triangle .Again a new equilateral triangle is inscribed in the newly inscribed circle.This goes on for n times.
q1.Then the sum of the areas of all circles is :----------
(a) 3

R² { 1- ( 1/3ⁿ) }
(b) 2

R² { 1- (1/ 2ⁿ) }
(c) n

R²{ 1-( 1/ a³) }
(d) None of these

q2.Limit of sum of all the areas of all circles as n tends to infinity, is-----------
(a) 4

R²
(b) 2

R²
(c)

R^a
(d) none of these

q3.Sum of areas of all triangles is :-----------------------
(a) 8nR²
(b) 2nR²
(c) a Rⁿ
(d) none of these

q4.Limit of sum of all the areas of the triangles as n tends to infinity ,is ------------
(a) 2R²
(b) 4R²
(C) 3R^{2
(d) none of these}

Ask & Discuss Questions with Community & Experts