JEE PYQ: Application Of Derivatives Question 22
Question 22 - 2021 (26 Feb Shift 2)
The triangle of maximum area that can be inscribed in a given circle of radius $r$ is:
(1) A right angle triangle having two of its sides of length $2r$ and $r$
(2) An equilateral triangle of height $\frac{2r}{3}$
(3) An isosceles triangle with base equal to $2r$
(4) An equilateral triangle having each of its side of length $\sqrt{3},r$
Show Answer
Answer: (4)
Solution
The triangle of maximum area inscribed in a circle is equilateral. With radius $r$, each side $= \sqrt{3},r$.
BETA
