Applications Of Derivatives Question 353
Question: If PQ and PR are the two sides of a triangle, then the angle between them which gives maximum area of the triangle is
[Kerala (Engg.) 2002]
Options:
A) $ \pi $
B) $ \pi /3 $
C) $ \pi /4 $
D) $ \pi /2 $
Show Answer
Answer:
Correct Answer: D
Solution:
Let $ PQ=a $ and $ PR=b $ , then $ \Delta =\frac{1}{2}ab\sin \theta $
$ \because $ $ -1\le \sin \theta \le 1 $
Since, area is maximum when $ \sin \theta =1 $
therefore $ \theta =\frac{\pi }{2} $ .
BETA
