0

Guest

Courses New

ABC is an isosceles right angle triangle with AB=BC =1.If P is a point on AC then min(max(areaAPQ,(areaPQBR),area PRC))

ABC is an isosceles right angle triangle with AB=BC =1.If P is a point on AC then min(max(areaAPQ,(areaPQBR),area PRC))

Question Image
Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
5 years ago
i am getting answer 2/9. i have done using graph, take one variable x and then express other lengths in terms of that. make three graphs of x(1-x), x^2/2 and (1-x)^2/2, using which plot the function g(x)= max[x(1-x), x^2/2, (1-x)^2/2]. its minimum value will be blatantly obvious from the graph, occur at x=1/3
and thence min(max(areaAPQ,(areaPQBR),area PRC))= 2/9

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More