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BITSAT Mathematics Application of Derivatives 2024 BITSAT 2024 (Memory Based Paper 3)

BITSAT Mathematics Question (2024) — Solution

Question

The maximum area of rectangle inscribed in a circle of diameter R is

Options

  1. A. R^2
  2. B. R^2 2
  3. C. R^2 4
  4. D. R^2 8

Answer

B. R^2 2

Step-by-step solution

According to question, Diameter =R Diagonals, d_1=d_2=R aligned Max Area of rectangle (any quadrilateral) & = 1 2 d_1 d_2 \\ = & 1 2 R R= R^2 2 aligned

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