A) \[\max (p,q)<\max (p,q,r)\]
B) \[\min (p,q)=\frac{1}{2}(p+q-\left| p-q \right|)\]
C) \[\max (p,q)<\min (p,q,r)\]
D) None of these
Correct Answer: B
Solution :
if \[p=5,q=3,r=2\] |
\[\max (p,q)=5;\,\,\,\,\,\max (p,q,r)=5\] |
\[\Rightarrow \]\[\max (p,q)=\,\,\,max(p,q,r)\] |
\[\therefore \] [a] is not true. Similarly we can show that [c] is not true. |
Also \[\min (p,q)=\frac{1}{2}(p+q-\left| p-q \right|)\,\] |
Let \[q<p\]then \[LHS=p\] |
and \[R.H.S=\frac{1}{2}(p+q-q+p)=p\] |
Similarly, we can prove that [b] is true for \[q>p\]too. |
You need to login to perform this action.
You will be redirected in
3 sec