Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2024MathematicsApplication of DerivativesActual

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

Options

  1. AR^2
  2. BR^2 2
  3. CR^2 4
  4. DR^2 8

Correct answer

B. R^2 2

Step-by-step solution

According to question, Diameter =R Diagonals, d₁=d₂=R aligned Max Area of rectangle (any quadrilateral) & = 1 2 d₁ d₂ = & 1 2 R R= R^2 2 aligned

Practice Application of Derivatives on Quantrex Academy →

More from Application of Derivatives

Consider the function f(x)= |x-1| x^2 , then f(x) is 2024The maximum volume (in cu. units) of the cylinder which can be inscribed in a sphere of radius 12 units is 2024If the angle made by the tangent at the point (x₀, y₀ ) on the curve x=12(t+ t t), y=12(1+ t)^2, 0 t 2 , with the positive x -axis is 3 , then y₀ is equal to 2024The altitude of a cone is 20 cm and its semivertical angle is 30^ . If the semi-vertical angle is increasing at the rate of 2^ per second, then the radius of the base is increasing 2024The point of inflexion for the curve y=(x-a)^n , where n is odd integer and n 3 is 2024The population p(t) at time t of a certain mouse species satisfies the differential equation d p(t) d t =0.5 p ( t )-450 . If p(0)=850 , then the time at which the population becom 2024The function f(x)= (1+x)- 2 x 2+x is increasing on 2023If f(x)= x, g(x)= 2 x, h(x)= 3 x and I(x)= x , then which of the following option is correct? 2023 Full Application of Derivatives list All BITSAT PYQs