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QJEEM19Mabe8a: JEE Main 2019 Mathematics - Class 11 JEEM19Mabe8a Solution: The maximum area (in sq. units) of a rectangle having its base…

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :

Multiple Choice Options

  • A 36
  • B 20 2\sqrt 2
  • C 18 3\sqrt 3
  • D 32

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th January Morning Slot Mathematics - Parabola Question 104 English Explanation
f (a) = 2a(12 −- a)2

f '(a) = 2(12 −- 3a2)

Maximum at a = 2

maximum area = f(2) = 32

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