Trigonometric Equations Question 33
Question: If $ a,\ b,\ c $ are the sides of a triangle ABC, then which of the following inequalities is not true
[Kurukshetra CEE 1996]
Options:
A) $ 8abc\le (a+b)(b+c)(c+a) $
B) $ 3abc\le a^{3}+b^{3}+c^{3} $
C) $ 6abc\le bc(b+c)+ca(c+a)+ab(a+b) $
D) $ abc\le (a+b-c)(b+c-a)(c+a-b) $
Show Answer
Answer:
Correct Answer: D
Solution:
- Trick: Let $ a=2,,b=3,,c=4 $ and check with the options.
BETA
