Home
Class 12
MATHS
An isosceles triangle of vertical angle ...

An isosceles triangle of vertical angle `2 theta` is inscribed in a circle of radius a. Show that the area of triangle is maximum when `theta = (pi)/(6)`.

Text Solution

Verified by Experts

The correct Answer is:
`theta = (pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - V (VERY SHORT ANSWER TYPE QUESTIONS )|6 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - V (SHORT ANSWER TYPE QUESTIONS )|19 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )|17 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Shows that the triangle of greatest area that can be inscribed in a circle is equilateral.

Show that the rectangle of maximum area that can be inscribed in a given circle is a square.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

Show that x/(1+ x tan x,) x in (0,pi/2) is maximum when x = cos x.

Find the area of triangle whose vertices are (1,2), (3,4),(1/2,1/4).