@Rajesh Option B is m > Max (u, v, w)
2 > Max (3,4,5) > 5 which is NOT true.
The case of Pythagorean triplets is considered by @master_shifu sir in the explanation.

@coolnero Thanks! :)
For Q8 we don't need to go for differentiation and all
f(x) = ax^2 – b|x|
x^2 and |x| are always non negative.
If a > 0 and b < 0, f(x) > = 0
So at x = 0, f(x) is minimum when a > 0 and b < 0
Option d.